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Finding the Fourth Proportional to 739.24, 1,111.29 and 617.74

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Solution

The fourth proportional to 739.24, 1,111.29 and 617.74 is: 928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.24 : 1,111.29 = 617.74 : x
  2. Step 2: Convert to fraction form
    739.24/1,111.29 = 617.74/x
  3. Step 3: Cross multiply
    739.24x = 1,111.29 × 617.74
  4. Step 4: Simplify right side
    739.24x = 686,488.28
  5. Step 5: Solve for x
    x = 686,488.28/739.24
  6. Step 6: Final answer
    x = 928.64

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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.