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Finding the Fourth Proportional to 1,470.90, 2,206.39 and 375.27

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Solution

The fourth proportional to 1,470.90, 2,206.39 and 375.27 is: 562.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.90 : 2,206.39 = 375.27 : x
  2. Step 2: Convert to fraction form
    1,470.90/2,206.39 = 375.27/x
  3. Step 3: Cross multiply
    1,470.90x = 2,206.39 × 375.27
  4. Step 4: Simplify right side
    1,470.90x = 827,991.98
  5. Step 5: Solve for x
    x = 827,991.98/1,470.90
  6. Step 6: Final answer
    x = 562.92

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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.