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Finding the Fourth Proportional to 712.60, 984.33 and 581.38

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Solution

The fourth proportional to 712.60, 984.33 and 581.38 is: 803.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.60 : 984.33 = 581.38 : x
  2. Step 2: Convert to fraction form
    712.60/984.33 = 581.38/x
  3. Step 3: Cross multiply
    712.60x = 984.33 × 581.38
  4. Step 4: Simplify right side
    712.60x = 572,269.78
  5. Step 5: Solve for x
    x = 572,269.78/712.60
  6. Step 6: Final answer
    x = 803.07

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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.