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Finding the Fourth Proportional to 1,012.23, 1,396.91 and 592.58

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Solution

The fourth proportional to 1,012.23, 1,396.91 and 592.58 is: 817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.23 : 1,396.91 = 592.58 : x
  2. Step 2: Convert to fraction form
    1,012.23/1,396.91 = 592.58/x
  3. Step 3: Cross multiply
    1,012.23x = 1,396.91 × 592.58
  4. Step 4: Simplify right side
    1,012.23x = 827,785.90
  5. Step 5: Solve for x
    x = 827,785.90/1,012.23
  6. Step 6: Final answer
    x = 817.78

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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.