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Finding the Fourth Proportional to 1,013.28, 1,398.60 and 593.70

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Solution

The fourth proportional to 1,013.28, 1,398.60 and 593.70 is: 819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.28 : 1,398.60 = 593.70 : x
  2. Step 2: Convert to fraction form
    1,013.28/1,398.60 = 593.70/x
  3. Step 3: Cross multiply
    1,013.28x = 1,398.60 × 593.70
  4. Step 4: Simplify right side
    1,013.28x = 830,348.82
  5. Step 5: Solve for x
    x = 830,348.82/1,013.28
  6. Step 6: Final answer
    x = 819.47

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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.