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Finding the Fourth Proportional to 1,188.12, 1,781.49 and 457.60

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Solution

The fourth proportional to 1,188.12, 1,781.49 and 457.60 is: 686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.12 : 1,781.49 = 457.60 : x
  2. Step 2: Convert to fraction form
    1,188.12/1,781.49 = 457.60/x
  3. Step 3: Cross multiply
    1,188.12x = 1,781.49 × 457.60
  4. Step 4: Simplify right side
    1,188.12x = 815,210.43
  5. Step 5: Solve for x
    x = 815,210.43/1,188.12
  6. Step 6: Final answer
    x = 686.14

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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.