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Finding the Fourth Proportional to 824.79, 1,235.97 and 459.08

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Solution

The fourth proportional to 824.79, 1,235.97 and 459.08 is: 687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.79 : 1,235.97 = 459.08 : x
  2. Step 2: Convert to fraction form
    824.79/1,235.97 = 459.08/x
  3. Step 3: Cross multiply
    824.79x = 1,235.97 × 459.08
  4. Step 4: Simplify right side
    824.79x = 567,409.11
  5. Step 5: Solve for x
    x = 567,409.11/824.79
  6. Step 6: Final answer
    x = 687.94

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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.