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Finding the Fourth Proportional to 1,470.62, 2,206.51 and 648.32

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Solution

The fourth proportional to 1,470.62, 2,206.51 and 648.32 is: 972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.62 : 2,206.51 = 648.32 : x
  2. Step 2: Convert to fraction form
    1,470.62/2,206.51 = 648.32/x
  3. Step 3: Cross multiply
    1,470.62x = 2,206.51 × 648.32
  4. Step 4: Simplify right side
    1,470.62x = 1,430,524.56
  5. Step 5: Solve for x
    x = 1,430,524.56/1,470.62
  6. Step 6: Final answer
    x = 972.74

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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.