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Finding the Fourth Proportional to 1,002.47, 1,503.18 and 386.06

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Solution

The fourth proportional to 1,002.47, 1,503.18 and 386.06 is: 578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.47 : 1,503.18 = 386.06 : x
  2. Step 2: Convert to fraction form
    1,002.47/1,503.18 = 386.06/x
  3. Step 3: Cross multiply
    1,002.47x = 1,503.18 × 386.06
  4. Step 4: Simplify right side
    1,002.47x = 580,310.15
  5. Step 5: Solve for x
    x = 580,310.15/1,002.47
  6. Step 6: Final answer
    x = 578.88

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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.