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Finding the Fourth Proportional to 1,263.52, 1,743.92 and 766.16

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Solution

The fourth proportional to 1,263.52, 1,743.92 and 766.16 is: 1,057.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.52 : 1,743.92 = 766.16 : x
  2. Step 2: Convert to fraction form
    1,263.52/1,743.92 = 766.16/x
  3. Step 3: Cross multiply
    1,263.52x = 1,743.92 × 766.16
  4. Step 4: Simplify right side
    1,263.52x = 1,336,121.75
  5. Step 5: Solve for x
    x = 1,336,121.75/1,263.52
  6. Step 6: Final answer
    x = 1,057.46

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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.