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Finding the Fourth Proportional to 1,193.24, 1,646.97 and 751.16

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Solution

The fourth proportional to 1,193.24, 1,646.97 and 751.16 is: 1,036.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.24 : 1,646.97 = 751.16 : x
  2. Step 2: Convert to fraction form
    1,193.24/1,646.97 = 751.16/x
  3. Step 3: Cross multiply
    1,193.24x = 1,646.97 × 751.16
  4. Step 4: Simplify right side
    1,193.24x = 1,237,137.99
  5. Step 5: Solve for x
    x = 1,237,137.99/1,193.24
  6. Step 6: Final answer
    x = 1,036.79

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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.