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Finding the Fourth Proportional to 824.14, 1,137.18 and 474.76

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Solution

The fourth proportional to 824.14, 1,137.18 and 474.76 is: 655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.14 : 1,137.18 = 474.76 : x
  2. Step 2: Convert to fraction form
    824.14/1,137.18 = 474.76/x
  3. Step 3: Cross multiply
    824.14x = 1,137.18 × 474.76
  4. Step 4: Simplify right side
    824.14x = 539,880.70
  5. Step 5: Solve for x
    x = 539,880.70/824.14
  6. Step 6: Final answer
    x = 655.09

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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.