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Finding the Fourth Proportional to 824.61, 1,237.07 and 459.81

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Solution

The fourth proportional to 824.61, 1,237.07 and 459.81 is: 689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.61 : 1,237.07 = 459.81 : x
  2. Step 2: Convert to fraction form
    824.61/1,237.07 = 459.81/x
  3. Step 3: Cross multiply
    824.61x = 1,237.07 × 459.81
  4. Step 4: Simplify right side
    824.61x = 568,818.31
  5. Step 5: Solve for x
    x = 568,818.31/824.61
  6. Step 6: Final answer
    x = 689.80

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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.