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Finding the Fourth Proportional to 822.14, 1,232.56 and 432.19

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Solution

The fourth proportional to 822.14, 1,232.56 and 432.19 is: 647.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.14 : 1,232.56 = 432.19 : x
  2. Step 2: Convert to fraction form
    822.14/1,232.56 = 432.19/x
  3. Step 3: Cross multiply
    822.14x = 1,232.56 × 432.19
  4. Step 4: Simplify right side
    822.14x = 532,700.11
  5. Step 5: Solve for x
    x = 532,700.11/822.14
  6. Step 6: Final answer
    x = 647.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.