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Finding the Fourth Proportional to 987, 1,476.66 and 779.42

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Solution

The fourth proportional to 987, 1,476.66 and 779.42 is: 1,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    987 : 1,476.66 = 779.42 : x
  2. Step 2: Convert to fraction form
    987/1,476.66 = 779.42/x
  3. Step 3: Cross multiply
    987x = 1,476.66 × 779.42
  4. Step 4: Simplify right side
    987x = 1,150,938.34
  5. Step 5: Solve for x
    x = 1,150,938.34/987
  6. Step 6: Final answer
    x = 1,166.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.