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Finding the Fourth Proportional to 1,012.67, 1,397.41 and 592.97

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Solution

The fourth proportional to 1,012.67, 1,397.41 and 592.97 is: 818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.67 : 1,397.41 = 592.97 : x
  2. Step 2: Convert to fraction form
    1,012.67/1,397.41 = 592.97/x
  3. Step 3: Cross multiply
    1,012.67x = 1,397.41 × 592.97
  4. Step 4: Simplify right side
    1,012.67x = 828,612.26
  5. Step 5: Solve for x
    x = 828,612.26/1,012.67
  6. Step 6: Final answer
    x = 818.25

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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.