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Finding the Fourth Proportional to 1,002.79, 1,500.40 and 592.15

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Solution

The fourth proportional to 1,002.79, 1,500.40 and 592.15 is: 885.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.79 : 1,500.40 = 592.15 : x
  2. Step 2: Convert to fraction form
    1,002.79/1,500.40 = 592.15/x
  3. Step 3: Cross multiply
    1,002.79x = 1,500.40 × 592.15
  4. Step 4: Simplify right side
    1,002.79x = 888,461.86
  5. Step 5: Solve for x
    x = 888,461.86/1,002.79
  6. Step 6: Final answer
    x = 885.99

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