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Finding the Fourth Proportional to 1,193.23, 1,646.56 and 669.16

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Solution

The fourth proportional to 1,193.23, 1,646.56 and 669.16 is: 923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.23 : 1,646.56 = 669.16 : x
  2. Step 2: Convert to fraction form
    1,193.23/1,646.56 = 669.16/x
  3. Step 3: Cross multiply
    1,193.23x = 1,646.56 × 669.16
  4. Step 4: Simplify right side
    1,193.23x = 1,101,806.30
  5. Step 5: Solve for x
    x = 1,101,806.30/1,193.23
  6. Step 6: Final answer
    x = 923.38

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Half scale
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Double scale
Find fourth proportional to 1,194.23, 1,647.94 and 670.16
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.