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Finding the Fourth Proportional to 822.92, 1,135.47 and 468.83

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Solution

The fourth proportional to 822.92, 1,135.47 and 468.83 is: 646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.92 : 1,135.47 = 468.83 : x
  2. Step 2: Convert to fraction form
    822.92/1,135.47 = 468.83/x
  3. Step 3: Cross multiply
    822.92x = 1,135.47 × 468.83
  4. Step 4: Simplify right side
    822.92x = 532,348.25
  5. Step 5: Solve for x
    x = 532,348.25/822.92
  6. Step 6: Final answer
    x = 646.90

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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.