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Finding the Fourth Proportional to 1,023.29, 1,412.08 and 581.13

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Solution

The fourth proportional to 1,023.29, 1,412.08 and 581.13 is: 801.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.29 : 1,412.08 = 581.13 : x
  2. Step 2: Convert to fraction form
    1,023.29/1,412.08 = 581.13/x
  3. Step 3: Cross multiply
    1,023.29x = 1,412.08 × 581.13
  4. Step 4: Simplify right side
    1,023.29x = 820,594.99
  5. Step 5: Solve for x
    x = 820,594.99/1,023.29
  6. Step 6: Final answer
    x = 801.92

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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.