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Finding the Fourth Proportional to 829.12, 1,243.14 and 464.08

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Solution

The fourth proportional to 829.12, 1,243.14 and 464.08 is: 695.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.12 : 1,243.14 = 464.08 : x
  2. Step 2: Convert to fraction form
    829.12/1,243.14 = 464.08/x
  3. Step 3: Cross multiply
    829.12x = 1,243.14 × 464.08
  4. Step 4: Simplify right side
    829.12x = 576,916.41
  5. Step 5: Solve for x
    x = 576,916.41/829.12
  6. Step 6: Final answer
    x = 695.82

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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.