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Finding the Fourth Proportional to 1,002.52, 1,503.84 and 568.84

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Solution

The fourth proportional to 1,002.52, 1,503.84 and 568.84 is: 853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.52 : 1,503.84 = 568.84 : x
  2. Step 2: Convert to fraction form
    1,002.52/1,503.84 = 568.84/x
  3. Step 3: Cross multiply
    1,002.52x = 1,503.84 × 568.84
  4. Step 4: Simplify right side
    1,002.52x = 855,444.35
  5. Step 5: Solve for x
    x = 855,444.35/1,002.52
  6. Step 6: Final answer
    x = 853.29

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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.