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Finding the Fourth Proportional to 824.84, 1,138.20 and 493.28

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Solution

The fourth proportional to 824.84, 1,138.20 and 493.28 is: 680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.84 : 1,138.20 = 493.28 : x
  2. Step 2: Convert to fraction form
    824.84/1,138.20 = 493.28/x
  3. Step 3: Cross multiply
    824.84x = 1,138.20 × 493.28
  4. Step 4: Simplify right side
    824.84x = 561,451.30
  5. Step 5: Solve for x
    x = 561,451.30/824.84
  6. Step 6: Final answer
    x = 680.68

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1.5x scale

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.