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Finding the Fourth Proportional to 1,013.31, 1,397.89 and 593.67

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Solution

The fourth proportional to 1,013.31, 1,397.89 and 593.67 is: 818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.31 : 1,397.89 = 593.67 : x
  2. Step 2: Convert to fraction form
    1,013.31/1,397.89 = 593.67/x
  3. Step 3: Cross multiply
    1,013.31x = 1,397.89 × 593.67
  4. Step 4: Simplify right side
    1,013.31x = 829,885.36
  5. Step 5: Solve for x
    x = 829,885.36/1,013.31
  6. Step 6: Final answer
    x = 818.98

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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.