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Finding the Fourth Proportional to 824.28, 1,235.40 and 476.94

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Solution

The fourth proportional to 824.28, 1,235.40 and 476.94 is: 714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.28 : 1,235.40 = 476.94 : x
  2. Step 2: Convert to fraction form
    824.28/1,235.40 = 476.94/x
  3. Step 3: Cross multiply
    824.28x = 1,235.40 × 476.94
  4. Step 4: Simplify right side
    824.28x = 589,211.68
  5. Step 5: Solve for x
    x = 589,211.68/824.28
  6. Step 6: Final answer
    x = 714.82

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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.