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Finding the Fourth Proportional to 1,250.70, 1,874.79 and 470.58

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Solution

The fourth proportional to 1,250.70, 1,874.79 and 470.58 is: 705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.70 : 1,874.79 = 470.58 : x
  2. Step 2: Convert to fraction form
    1,250.70/1,874.79 = 470.58/x
  3. Step 3: Cross multiply
    1,250.70x = 1,874.79 × 470.58
  4. Step 4: Simplify right side
    1,250.70x = 882,238.68
  5. Step 5: Solve for x
    x = 882,238.68/1,250.70
  6. Step 6: Final answer
    x = 705.40

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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.