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Finding the Fourth Proportional to 1,023.29, 1,412.18 and 581.12

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Solution

The fourth proportional to 1,023.29, 1,412.18 and 581.12 is: 801.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.29 : 1,412.18 = 581.12 : x
  2. Step 2: Convert to fraction form
    1,023.29/1,412.18 = 581.12/x
  3. Step 3: Cross multiply
    1,023.29x = 1,412.18 × 581.12
  4. Step 4: Simplify right side
    1,023.29x = 820,646.04
  5. Step 5: Solve for x
    x = 820,646.04/1,023.29
  6. Step 6: Final answer
    x = 801.97

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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.