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Finding the Fourth Proportional to 1,251.42, 1,876.76 and 470.86

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Solution

The fourth proportional to 1,251.42, 1,876.76 and 470.86 is: 706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.42 : 1,876.76 = 470.86 : x
  2. Step 2: Convert to fraction form
    1,251.42/1,876.76 = 470.86/x
  3. Step 3: Cross multiply
    1,251.42x = 1,876.76 × 470.86
  4. Step 4: Simplify right side
    1,251.42x = 883,681.83
  5. Step 5: Solve for x
    x = 883,681.83/1,251.42
  6. Step 6: Final answer
    x = 706.14

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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.