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Finding the Fourth Proportional to 979.59, 1,470.17 and 432.17

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Solution

The fourth proportional to 979.59, 1,470.17 and 432.17 is: 648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.59 : 1,470.17 = 432.17 : x
  2. Step 2: Convert to fraction form
    979.59/1,470.17 = 432.17/x
  3. Step 3: Cross multiply
    979.59x = 1,470.17 × 432.17
  4. Step 4: Simplify right side
    979.59x = 635,363.37
  5. Step 5: Solve for x
    x = 635,363.37/979.59
  6. Step 6: Final answer
    x = 648.60

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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.