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Finding the Fourth Proportional to 1,001.48, 1,502.20 and 423.96

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Solution

The fourth proportional to 1,001.48, 1,502.20 and 423.96 is: 635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.48 : 1,502.20 = 423.96 : x
  2. Step 2: Convert to fraction form
    1,001.48/1,502.20 = 423.96/x
  3. Step 3: Cross multiply
    1,001.48x = 1,502.20 × 423.96
  4. Step 4: Simplify right side
    1,001.48x = 636,872.71
  5. Step 5: Solve for x
    x = 636,872.71/1,001.48
  6. Step 6: Final answer
    x = 635.93

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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.