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Finding the Fourth Proportional to 1,079.55, 1,617.78 and 493.11

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Solution

The fourth proportional to 1,079.55, 1,617.78 and 493.11 is: 738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.55 : 1,617.78 = 493.11 : x
  2. Step 2: Convert to fraction form
    1,079.55/1,617.78 = 493.11/x
  3. Step 3: Cross multiply
    1,079.55x = 1,617.78 × 493.11
  4. Step 4: Simplify right side
    1,079.55x = 797,743.50
  5. Step 5: Solve for x
    x = 797,743.50/1,079.55
  6. Step 6: Final answer
    x = 738.96

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Why These Related Problems?

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