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Finding the Fourth Proportional to 811.48, 1,120.08 and 531.85

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Solution

The fourth proportional to 811.48, 1,120.08 and 531.85 is: 734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.48 : 1,120.08 = 531.85 : x
  2. Step 2: Convert to fraction form
    811.48/1,120.08 = 531.85/x
  3. Step 3: Cross multiply
    811.48x = 1,120.08 × 531.85
  4. Step 4: Simplify right side
    811.48x = 595,714.55
  5. Step 5: Solve for x
    x = 595,714.55/811.48
  6. Step 6: Final answer
    x = 734.11

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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.