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Finding the Fourth Proportional to 1,242.86, 1,864.49 and 376.97

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Solution

The fourth proportional to 1,242.86, 1,864.49 and 376.97 is: 565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.86 : 1,864.49 = 376.97 : x
  2. Step 2: Convert to fraction form
    1,242.86/1,864.49 = 376.97/x
  3. Step 3: Cross multiply
    1,242.86x = 1,864.49 × 376.97
  4. Step 4: Simplify right side
    1,242.86x = 702,856.80
  5. Step 5: Solve for x
    x = 702,856.80/1,242.86
  6. Step 6: Final answer
    x = 565.52

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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.