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Finding the Fourth Proportional to 1,250.76, 1,876.34 and 470.66

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Solution

The fourth proportional to 1,250.76, 1,876.34 and 470.66 is: 706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.76 : 1,876.34 = 470.66 : x
  2. Step 2: Convert to fraction form
    1,250.76/1,876.34 = 470.66/x
  3. Step 3: Cross multiply
    1,250.76x = 1,876.34 × 470.66
  4. Step 4: Simplify right side
    1,250.76x = 883,118.18
  5. Step 5: Solve for x
    x = 883,118.18/1,250.76
  6. Step 6: Final answer
    x = 706.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.