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Finding the Fourth Proportional to 1,187.57, 1,782.14 and 457.16

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Solution

The fourth proportional to 1,187.57, 1,782.14 and 457.16 is: 686.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.57 : 1,782.14 = 457.16 : x
  2. Step 2: Convert to fraction form
    1,187.57/1,782.14 = 457.16/x
  3. Step 3: Cross multiply
    1,187.57x = 1,782.14 × 457.16
  4. Step 4: Simplify right side
    1,187.57x = 814,711.93
  5. Step 5: Solve for x
    x = 814,711.93/1,187.57
  6. Step 6: Final answer
    x = 686.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.