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Finding the Fourth Proportional to 822.29, 1,134.72 and 468.16

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Solution

The fourth proportional to 822.29, 1,134.72 and 468.16 is: 646.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.29 : 1,134.72 = 468.16 : x
  2. Step 2: Convert to fraction form
    822.29/1,134.72 = 468.16/x
  3. Step 3: Cross multiply
    822.29x = 1,134.72 × 468.16
  4. Step 4: Simplify right side
    822.29x = 531,229.93
  5. Step 5: Solve for x
    x = 531,229.93/822.29
  6. Step 6: Final answer
    x = 646.03

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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.