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Finding the Fourth Proportional to 1,012.59, 1,397.56 and 593.19

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Solution

The fourth proportional to 1,012.59, 1,397.56 and 593.19 is: 818.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.59 : 1,397.56 = 593.19 : x
  2. Step 2: Convert to fraction form
    1,012.59/1,397.56 = 593.19/x
  3. Step 3: Cross multiply
    1,012.59x = 1,397.56 × 593.19
  4. Step 4: Simplify right side
    1,012.59x = 829,018.62
  5. Step 5: Solve for x
    x = 829,018.62/1,012.59
  6. Step 6: Final answer
    x = 818.71

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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.