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Finding the Fourth Proportional to 1,013.53, 1,398.68 and 547.78

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Solution

The fourth proportional to 1,013.53, 1,398.68 and 547.78 is: 755.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.53 : 1,398.68 = 547.78 : x
  2. Step 2: Convert to fraction form
    1,013.53/1,398.68 = 547.78/x
  3. Step 3: Cross multiply
    1,013.53x = 1,398.68 × 547.78
  4. Step 4: Simplify right side
    1,013.53x = 766,167.94
  5. Step 5: Solve for x
    x = 766,167.94/1,013.53
  6. Step 6: Final answer
    x = 755.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.