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Finding the Fourth Proportional to 763.82, 1,139.58 and 727.10

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Solution

The fourth proportional to 763.82, 1,139.58 and 727.10 is: 1,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.82 : 1,139.58 = 727.10 : x
  2. Step 2: Convert to fraction form
    763.82/1,139.58 = 727.10/x
  3. Step 3: Cross multiply
    763.82x = 1,139.58 × 727.10
  4. Step 4: Simplify right side
    763.82x = 828,588.62
  5. Step 5: Solve for x
    x = 828,588.62/763.82
  6. Step 6: Final answer
    x = 1,084.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.