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Finding the Fourth Proportional to 1,044.14, 1,565.91 and 313.61

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Solution

The fourth proportional to 1,044.14, 1,565.91 and 313.61 is: 470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.14 : 1,565.91 = 313.61 : x
  2. Step 2: Convert to fraction form
    1,044.14/1,565.91 = 313.61/x
  3. Step 3: Cross multiply
    1,044.14x = 1,565.91 × 313.61
  4. Step 4: Simplify right side
    1,044.14x = 491,077.21
  5. Step 5: Solve for x
    x = 491,077.21/1,044.14
  6. Step 6: Final answer
    x = 470.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.