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Finding the Fourth Proportional to 1,647.19, 2,470.31 and 460.96

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Solution

The fourth proportional to 1,647.19, 2,470.31 and 460.96 is: 691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.19 : 2,470.31 = 460.96 : x
  2. Step 2: Convert to fraction form
    1,647.19/2,470.31 = 460.96/x
  3. Step 3: Cross multiply
    1,647.19x = 2,470.31 × 460.96
  4. Step 4: Simplify right side
    1,647.19x = 1,138,714.10
  5. Step 5: Solve for x
    x = 1,138,714.10/1,647.19
  6. Step 6: Final answer
    x = 691.31

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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.