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Finding the Fourth Proportional to 749.20, 1,033.68 and 512.95

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Solution

The fourth proportional to 749.20, 1,033.68 and 512.95 is: 707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.20 : 1,033.68 = 512.95 : x
  2. Step 2: Convert to fraction form
    749.20/1,033.68 = 512.95/x
  3. Step 3: Cross multiply
    749.20x = 1,033.68 × 512.95
  4. Step 4: Simplify right side
    749.20x = 530,226.16
  5. Step 5: Solve for x
    x = 530,226.16/749.20
  6. Step 6: Final answer
    x = 707.72

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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.