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Finding the Fourth Proportional to 1,242.76, 1,864.41 and 377.14

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Solution

The fourth proportional to 1,242.76, 1,864.41 and 377.14 is: 565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.76 : 1,864.41 = 377.14 : x
  2. Step 2: Convert to fraction form
    1,242.76/1,864.41 = 377.14/x
  3. Step 3: Cross multiply
    1,242.76x = 1,864.41 × 377.14
  4. Step 4: Simplify right side
    1,242.76x = 703,132.38
  5. Step 5: Solve for x
    x = 703,132.38/1,242.76
  6. Step 6: Final answer
    x = 565.79

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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.