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Finding the Fourth Proportional to 824.07, 1,137.21 and 474.75

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Solution

The fourth proportional to 824.07, 1,137.21 and 474.75 is: 655.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.07 : 1,137.21 = 474.75 : x
  2. Step 2: Convert to fraction form
    824.07/1,137.21 = 474.75/x
  3. Step 3: Cross multiply
    824.07x = 1,137.21 × 474.75
  4. Step 4: Simplify right side
    824.07x = 539,890.45
  5. Step 5: Solve for x
    x = 539,890.45/824.07
  6. Step 6: Final answer
    x = 655.15

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