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Finding the Fourth Proportional to 822.13, 1,134.67 and 472.75

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Solution

The fourth proportional to 822.13, 1,134.67 and 472.75 is: 652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.13 : 1,134.67 = 472.75 : x
  2. Step 2: Convert to fraction form
    822.13/1,134.67 = 472.75/x
  3. Step 3: Cross multiply
    822.13x = 1,134.67 × 472.75
  4. Step 4: Simplify right side
    822.13x = 536,409.57
  5. Step 5: Solve for x
    x = 536,409.57/822.13
  6. Step 6: Final answer
    x = 652.47

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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.