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Finding the Fourth Proportional to 1,002.53, 1,503.64 and 353.11

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Solution

The fourth proportional to 1,002.53, 1,503.64 and 353.11 is: 529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.53 : 1,503.64 = 353.11 : x
  2. Step 2: Convert to fraction form
    1,002.53/1,503.64 = 353.11/x
  3. Step 3: Cross multiply
    1,002.53x = 1,503.64 × 353.11
  4. Step 4: Simplify right side
    1,002.53x = 530,948.83
  5. Step 5: Solve for x
    x = 530,948.83/1,002.53
  6. Step 6: Final answer
    x = 529.61

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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.