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Finding the Fourth Proportional to 1,013.03, 1,398.12 and 593.55

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Solution

The fourth proportional to 1,013.03, 1,398.12 and 593.55 is: 819.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.03 : 1,398.12 = 593.55 : x
  2. Step 2: Convert to fraction form
    1,013.03/1,398.12 = 593.55/x
  3. Step 3: Cross multiply
    1,013.03x = 1,398.12 × 593.55
  4. Step 4: Simplify right side
    1,013.03x = 829,857.53
  5. Step 5: Solve for x
    x = 829,857.53/1,013.03
  6. Step 6: Final answer
    x = 819.18

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Why These Related Problems?

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