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Finding the Fourth Proportional to 822.14, 1,134.60 and 472.88

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Solution

The fourth proportional to 822.14, 1,134.60 and 472.88 is: 652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.14 : 1,134.60 = 472.88 : x
  2. Step 2: Convert to fraction form
    822.14/1,134.60 = 472.88/x
  3. Step 3: Cross multiply
    822.14x = 1,134.60 × 472.88
  4. Step 4: Simplify right side
    822.14x = 536,529.65
  5. Step 5: Solve for x
    x = 536,529.65/822.14
  6. Step 6: Final answer
    x = 652.60

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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.