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Finding the Fourth Proportional to 1,065.20, 1,470.24 and 667.04

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Solution

The fourth proportional to 1,065.20, 1,470.24 and 667.04 is: 920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.20 : 1,470.24 = 667.04 : x
  2. Step 2: Convert to fraction form
    1,065.20/1,470.24 = 667.04/x
  3. Step 3: Cross multiply
    1,065.20x = 1,470.24 × 667.04
  4. Step 4: Simplify right side
    1,065.20x = 980,708.89
  5. Step 5: Solve for x
    x = 980,708.89/1,065.20
  6. Step 6: Final answer
    x = 920.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.