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Finding the Fourth Proportional to 782.52, 1,080.82 and 586.88

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Solution

The fourth proportional to 782.52, 1,080.82 and 586.88 is: 810.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.52 : 1,080.82 = 586.88 : x
  2. Step 2: Convert to fraction form
    782.52/1,080.82 = 586.88/x
  3. Step 3: Cross multiply
    782.52x = 1,080.82 × 586.88
  4. Step 4: Simplify right side
    782.52x = 634,311.64
  5. Step 5: Solve for x
    x = 634,311.64/782.52
  6. Step 6: Final answer
    x = 810.60

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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.