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Finding the Fourth Proportional to 822.26, 1,134.70 and 473.14

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Solution

The fourth proportional to 822.26, 1,134.70 and 473.14 is: 652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.26 : 1,134.70 = 473.14 : x
  2. Step 2: Convert to fraction form
    822.26/1,134.70 = 473.14/x
  3. Step 3: Cross multiply
    822.26x = 1,134.70 × 473.14
  4. Step 4: Simplify right side
    822.26x = 536,871.96
  5. Step 5: Solve for x
    x = 536,871.96/822.26
  6. Step 6: Final answer
    x = 652.92

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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.