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Finding the Fourth Proportional to 1,193.23, 1,646.57 and 695.81

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Solution

The fourth proportional to 1,193.23, 1,646.57 and 695.81 is: 960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.23 : 1,646.57 = 695.81 : x
  2. Step 2: Convert to fraction form
    1,193.23/1,646.57 = 695.81/x
  3. Step 3: Cross multiply
    1,193.23x = 1,646.57 × 695.81
  4. Step 4: Simplify right side
    1,193.23x = 1,145,688.16
  5. Step 5: Solve for x
    x = 1,145,688.16/1,193.23
  6. Step 6: Final answer
    x = 960.16

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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.