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Finding the Fourth Proportional to 824.84, 1,138.01 and 562.40

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Solution

The fourth proportional to 824.84, 1,138.01 and 562.40 is: 775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.84 : 1,138.01 = 562.40 : x
  2. Step 2: Convert to fraction form
    824.84/1,138.01 = 562.40/x
  3. Step 3: Cross multiply
    824.84x = 1,138.01 × 562.40
  4. Step 4: Simplify right side
    824.84x = 640,008.32
  5. Step 5: Solve for x
    x = 640,008.32/824.84
  6. Step 6: Final answer
    x = 775.92

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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.