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Finding the Fourth Proportional to 785.52, 1,086.36 and 687.10

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Solution

The fourth proportional to 785.52, 1,086.36 and 687.10 is: 950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.52 : 1,086.36 = 687.10 : x
  2. Step 2: Convert to fraction form
    785.52/1,086.36 = 687.10/x
  3. Step 3: Cross multiply
    785.52x = 1,086.36 × 687.10
  4. Step 4: Simplify right side
    785.52x = 746,437.96
  5. Step 5: Solve for x
    x = 746,437.96/785.52
  6. Step 6: Final answer
    x = 950.25

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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.