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Finding the Fourth Proportional to 822.12, 1,134.48 and 472.84

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Solution

The fourth proportional to 822.12, 1,134.48 and 472.84 is: 652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.12 : 1,134.48 = 472.84 : x
  2. Step 2: Convert to fraction form
    822.12/1,134.48 = 472.84/x
  3. Step 3: Cross multiply
    822.12x = 1,134.48 × 472.84
  4. Step 4: Simplify right side
    822.12x = 536,427.52
  5. Step 5: Solve for x
    x = 536,427.52/822.12
  6. Step 6: Final answer
    x = 652.49

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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.