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Finding the Fourth Proportional to 824.55, 1,235.59 and 458.83

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Solution

The fourth proportional to 824.55, 1,235.59 and 458.83 is: 687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.55 : 1,235.59 = 458.83 : x
  2. Step 2: Convert to fraction form
    824.55/1,235.59 = 458.83/x
  3. Step 3: Cross multiply
    824.55x = 1,235.59 × 458.83
  4. Step 4: Simplify right side
    824.55x = 566,925.76
  5. Step 5: Solve for x
    x = 566,925.76/824.55
  6. Step 6: Final answer
    x = 687.56

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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.