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Finding the Fourth Proportional to 1,317.32, 1,974.56 and 668.10

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Solution

The fourth proportional to 1,317.32, 1,974.56 and 668.10 is: 1,001.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.32 : 1,974.56 = 668.10 : x
  2. Step 2: Convert to fraction form
    1,317.32/1,974.56 = 668.10/x
  3. Step 3: Cross multiply
    1,317.32x = 1,974.56 × 668.10
  4. Step 4: Simplify right side
    1,317.32x = 1,319,200.20
  5. Step 5: Solve for x
    x = 1,319,200.20/1,317.32
  6. Step 6: Final answer
    x = 1,001.43

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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.