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Finding the Fourth Proportional to 1,250.74, 1,876.49 and 470.81

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Solution

The fourth proportional to 1,250.74, 1,876.49 and 470.81 is: 706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.74 : 1,876.49 = 470.81 : x
  2. Step 2: Convert to fraction form
    1,250.74/1,876.49 = 470.81/x
  3. Step 3: Cross multiply
    1,250.74x = 1,876.49 × 470.81
  4. Step 4: Simplify right side
    1,250.74x = 883,462.05
  5. Step 5: Solve for x
    x = 883,462.05/1,250.74
  6. Step 6: Final answer
    x = 706.35

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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.