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Finding the Fourth Proportional to 749.34, 1,033.08 and 616.06

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Solution

The fourth proportional to 749.34, 1,033.08 and 616.06 is: 849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.34 : 1,033.08 = 616.06 : x
  2. Step 2: Convert to fraction form
    749.34/1,033.08 = 616.06/x
  3. Step 3: Cross multiply
    749.34x = 1,033.08 × 616.06
  4. Step 4: Simplify right side
    749.34x = 636,439.26
  5. Step 5: Solve for x
    x = 636,439.26/749.34
  6. Step 6: Final answer
    x = 849.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.