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Finding the Fourth Proportional to 1,002.52, 1,503.06 and 454.42

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Solution

The fourth proportional to 1,002.52, 1,503.06 and 454.42 is: 681.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.52 : 1,503.06 = 454.42 : x
  2. Step 2: Convert to fraction form
    1,002.52/1,503.06 = 454.42/x
  3. Step 3: Cross multiply
    1,002.52x = 1,503.06 × 454.42
  4. Step 4: Simplify right side
    1,002.52x = 683,020.53
  5. Step 5: Solve for x
    x = 683,020.53/1,002.52
  6. Step 6: Final answer
    x = 681.30

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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.