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Finding the Fourth Proportional to 779.60, 1,167.24 and 392.96

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Solution

The fourth proportional to 779.60, 1,167.24 and 392.96 is: 588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.60 : 1,167.24 = 392.96 : x
  2. Step 2: Convert to fraction form
    779.60/1,167.24 = 392.96/x
  3. Step 3: Cross multiply
    779.60x = 1,167.24 × 392.96
  4. Step 4: Simplify right side
    779.60x = 458,678.63
  5. Step 5: Solve for x
    x = 458,678.63/779.60
  6. Step 6: Final answer
    x = 588.35

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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.