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Finding the Fourth Proportional to 596.72, 887.86 and 581.84

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Solution

The fourth proportional to 596.72, 887.86 and 581.84 is: 865.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.72 : 887.86 = 581.84 : x
  2. Step 2: Convert to fraction form
    596.72/887.86 = 581.84/x
  3. Step 3: Cross multiply
    596.72x = 887.86 × 581.84
  4. Step 4: Simplify right side
    596.72x = 516,592.46
  5. Step 5: Solve for x
    x = 516,592.46/596.72
  6. Step 6: Final answer
    x = 865.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.