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Finding the Fourth Proportional to 1,012.62, 1,397.44 and 593.24

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Solution

The fourth proportional to 1,012.62, 1,397.44 and 593.24 is: 818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.62 : 1,397.44 = 593.24 : x
  2. Step 2: Convert to fraction form
    1,012.62/1,397.44 = 593.24/x
  3. Step 3: Cross multiply
    1,012.62x = 1,397.44 × 593.24
  4. Step 4: Simplify right side
    1,012.62x = 829,017.31
  5. Step 5: Solve for x
    x = 829,017.31/1,012.62
  6. Step 6: Final answer
    x = 818.69

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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.