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Finding the Fourth Proportional to 1,001.70, 1,502.42 and 376.92

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Solution

The fourth proportional to 1,001.70, 1,502.42 and 376.92 is: 565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.70 : 1,502.42 = 376.92 : x
  2. Step 2: Convert to fraction form
    1,001.70/1,502.42 = 376.92/x
  3. Step 3: Cross multiply
    1,001.70x = 1,502.42 × 376.92
  4. Step 4: Simplify right side
    1,001.70x = 566,290.26
  5. Step 5: Solve for x
    x = 566,290.26/1,001.70
  6. Step 6: Final answer
    x = 565.33

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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.