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Finding the Fourth Proportional to 824.77, 1,237.20 and 459.29

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Solution

The fourth proportional to 824.77, 1,237.20 and 459.29 is: 688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.77 : 1,237.20 = 459.29 : x
  2. Step 2: Convert to fraction form
    824.77/1,237.20 = 459.29/x
  3. Step 3: Cross multiply
    824.77x = 1,237.20 × 459.29
  4. Step 4: Simplify right side
    824.77x = 568,225.11
  5. Step 5: Solve for x
    x = 568,225.11/824.77
  6. Step 6: Final answer
    x = 688.95

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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.