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Finding the Fourth Proportional to 811.67, 1,120.25 and 532.15

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Solution

The fourth proportional to 811.67, 1,120.25 and 532.15 is: 734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.67 : 1,120.25 = 532.15 : x
  2. Step 2: Convert to fraction form
    811.67/1,120.25 = 532.15/x
  3. Step 3: Cross multiply
    811.67x = 1,120.25 × 532.15
  4. Step 4: Simplify right side
    811.67x = 596,139.57
  5. Step 5: Solve for x
    x = 596,139.57/811.67
  6. Step 6: Final answer
    x = 734.47

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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.