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Finding the Fourth Proportional to 1,470.70, 2,206.44 and 496.78

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Solution

The fourth proportional to 1,470.70, 2,206.44 and 496.78 is: 745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.70 : 2,206.44 = 496.78 : x
  2. Step 2: Convert to fraction form
    1,470.70/2,206.44 = 496.78/x
  3. Step 3: Cross multiply
    1,470.70x = 2,206.44 × 496.78
  4. Step 4: Simplify right side
    1,470.70x = 1,096,115.26
  5. Step 5: Solve for x
    x = 1,096,115.26/1,470.70
  6. Step 6: Final answer
    x = 745.30

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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.