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Finding the Fourth Proportional to 822.54, 1,134.78 and 473.16

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Solution

The fourth proportional to 822.54, 1,134.78 and 473.16 is: 652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.54 : 1,134.78 = 473.16 : x
  2. Step 2: Convert to fraction form
    822.54/1,134.78 = 473.16/x
  3. Step 3: Cross multiply
    822.54x = 1,134.78 × 473.16
  4. Step 4: Simplify right side
    822.54x = 536,932.50
  5. Step 5: Solve for x
    x = 536,932.50/822.54
  6. Step 6: Final answer
    x = 652.77

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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.