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Finding the Fourth Proportional to 1,044.18, 1,565.39 and 523.54

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Solution

The fourth proportional to 1,044.18, 1,565.39 and 523.54 is: 784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.18 : 1,565.39 = 523.54 : x
  2. Step 2: Convert to fraction form
    1,044.18/1,565.39 = 523.54/x
  3. Step 3: Cross multiply
    1,044.18x = 1,565.39 × 523.54
  4. Step 4: Simplify right side
    1,044.18x = 819,544.28
  5. Step 5: Solve for x
    x = 819,544.28/1,044.18
  6. Step 6: Final answer
    x = 784.87

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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.