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Finding the Fourth Proportional to 824.65, 1,237.01 and 459.16

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Solution

The fourth proportional to 824.65, 1,237.01 and 459.16 is: 688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.65 : 1,237.01 = 459.16 : x
  2. Step 2: Convert to fraction form
    824.65/1,237.01 = 459.16/x
  3. Step 3: Cross multiply
    824.65x = 1,237.01 × 459.16
  4. Step 4: Simplify right side
    824.65x = 567,982.82
  5. Step 5: Solve for x
    x = 567,982.82/824.65
  6. Step 6: Final answer
    x = 688.76

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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.