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Finding the Fourth Proportional to 591.65, 887.67 and 547.91

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Solution

The fourth proportional to 591.65, 887.67 and 547.91 is: 822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.65 : 887.67 = 547.91 : x
  2. Step 2: Convert to fraction form
    591.65/887.67 = 547.91/x
  3. Step 3: Cross multiply
    591.65x = 887.67 × 547.91
  4. Step 4: Simplify right side
    591.65x = 486,358.83
  5. Step 5: Solve for x
    x = 486,358.83/591.65
  6. Step 6: Final answer
    x = 822.05

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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.