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Finding the Fourth Proportional to 1,317.92, 1,976.88 and 452.32

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Solution

The fourth proportional to 1,317.92, 1,976.88 and 452.32 is: 678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.92 : 1,976.88 = 452.32 : x
  2. Step 2: Convert to fraction form
    1,317.92/1,976.88 = 452.32/x
  3. Step 3: Cross multiply
    1,317.92x = 1,976.88 × 452.32
  4. Step 4: Simplify right side
    1,317.92x = 894,182.36
  5. Step 5: Solve for x
    x = 894,182.36/1,317.92
  6. Step 6: Final answer
    x = 678.48

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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.