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Finding the Fourth Proportional to 782.97, 1,080.64 and 451.47

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Solution

The fourth proportional to 782.97, 1,080.64 and 451.47 is: 623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.97 : 1,080.64 = 451.47 : x
  2. Step 2: Convert to fraction form
    782.97/1,080.64 = 451.47/x
  3. Step 3: Cross multiply
    782.97x = 1,080.64 × 451.47
  4. Step 4: Simplify right side
    782.97x = 487,881.16
  5. Step 5: Solve for x
    x = 487,881.16/782.97
  6. Step 6: Final answer
    x = 623.12

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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.