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Finding the Fourth Proportional to 1,077.24, 1,615.80 and 346.80

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Solution

The fourth proportional to 1,077.24, 1,615.80 and 346.80 is: 520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.24 : 1,615.80 = 346.80 : x
  2. Step 2: Convert to fraction form
    1,077.24/1,615.80 = 346.80/x
  3. Step 3: Cross multiply
    1,077.24x = 1,615.80 × 346.80
  4. Step 4: Simplify right side
    1,077.24x = 560,359.44
  5. Step 5: Solve for x
    x = 560,359.44/1,077.24
  6. Step 6: Final answer
    x = 520.18

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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.