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Finding the Fourth Proportional to 824.68, 1,235.43 and 458.36

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Solution

The fourth proportional to 824.68, 1,235.43 and 458.36 is: 686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.68 : 1,235.43 = 458.36 : x
  2. Step 2: Convert to fraction form
    824.68/1,235.43 = 458.36/x
  3. Step 3: Cross multiply
    824.68x = 1,235.43 × 458.36
  4. Step 4: Simplify right side
    824.68x = 566,268.86
  5. Step 5: Solve for x
    x = 566,268.86/824.68
  6. Step 6: Final answer
    x = 686.65

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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.