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Finding the Fourth Proportional to 815.32, 1,221.96 and 583

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Solution

The fourth proportional to 815.32, 1,221.96 and 583 is: 873.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.32 : 1,221.96 = 583 : x
  2. Step 2: Convert to fraction form
    815.32/1,221.96 = 583/x
  3. Step 3: Cross multiply
    815.32x = 1,221.96 × 583
  4. Step 4: Simplify right side
    815.32x = 712,402.68
  5. Step 5: Solve for x
    x = 712,402.68/815.32
  6. Step 6: Final answer
    x = 873.77

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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.