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Finding the Fourth Proportional to 1,250.69, 1,876.31 and 470.70

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Solution

The fourth proportional to 1,250.69, 1,876.31 and 470.70 is: 706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.69 : 1,876.31 = 470.70 : x
  2. Step 2: Convert to fraction form
    1,250.69/1,876.31 = 470.70/x
  3. Step 3: Cross multiply
    1,250.69x = 1,876.31 × 470.70
  4. Step 4: Simplify right side
    1,250.69x = 883,179.12
  5. Step 5: Solve for x
    x = 883,179.12/1,250.69
  6. Step 6: Final answer
    x = 706.15

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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.