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Finding the Fourth Proportional to 1,250.25, 1,876.30 and 470.44

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Solution

The fourth proportional to 1,250.25, 1,876.30 and 470.44 is: 706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.25 : 1,876.30 = 470.44 : x
  2. Step 2: Convert to fraction form
    1,250.25/1,876.30 = 470.44/x
  3. Step 3: Cross multiply
    1,250.25x = 1,876.30 × 470.44
  4. Step 4: Simplify right side
    1,250.25x = 882,687.74
  5. Step 5: Solve for x
    x = 882,687.74/1,250.25
  6. Step 6: Final answer
    x = 706.01

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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.