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Finding the Fourth Proportional to 824.42, 1,138.58 and 560.04

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Solution

The fourth proportional to 824.42, 1,138.58 and 560.04 is: 773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.42 : 1,138.58 = 560.04 : x
  2. Step 2: Convert to fraction form
    824.42/1,138.58 = 560.04/x
  3. Step 3: Cross multiply
    824.42x = 1,138.58 × 560.04
  4. Step 4: Simplify right side
    824.42x = 637,647.54
  5. Step 5: Solve for x
    x = 637,647.54/824.42
  6. Step 6: Final answer
    x = 773.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.