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Finding the Fourth Proportional to 591.88, 892 and 534.20

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Solution

The fourth proportional to 591.88, 892 and 534.20 is: 805.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.88 : 892 = 534.20 : x
  2. Step 2: Convert to fraction form
    591.88/892 = 534.20/x
  3. Step 3: Cross multiply
    591.88x = 892 × 534.20
  4. Step 4: Simplify right side
    591.88x = 476,506.40
  5. Step 5: Solve for x
    x = 476,506.40/591.88
  6. Step 6: Final answer
    x = 805.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.