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Finding the Fourth Proportional to 1,013.49, 1,398.68 and 571.53

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Solution

The fourth proportional to 1,013.49, 1,398.68 and 571.53 is: 788.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.49 : 1,398.68 = 571.53 : x
  2. Step 2: Convert to fraction form
    1,013.49/1,398.68 = 571.53/x
  3. Step 3: Cross multiply
    1,013.49x = 1,398.68 × 571.53
  4. Step 4: Simplify right side
    1,013.49x = 799,384.72
  5. Step 5: Solve for x
    x = 799,384.72/1,013.49
  6. Step 6: Final answer
    x = 788.74

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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.