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Finding the Fourth Proportional to 782.07, 1,077.77 and 560.64

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Solution

The fourth proportional to 782.07, 1,077.77 and 560.64 is: 772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.07 : 1,077.77 = 560.64 : x
  2. Step 2: Convert to fraction form
    782.07/1,077.77 = 560.64/x
  3. Step 3: Cross multiply
    782.07x = 1,077.77 × 560.64
  4. Step 4: Simplify right side
    782.07x = 604,240.97
  5. Step 5: Solve for x
    x = 604,240.97/782.07
  6. Step 6: Final answer
    x = 772.62

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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.