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Finding the Fourth Proportional to 591.38, 886.74 and 524.77

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Solution

The fourth proportional to 591.38, 886.74 and 524.77 is: 786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.38 : 886.74 = 524.77 : x
  2. Step 2: Convert to fraction form
    591.38/886.74 = 524.77/x
  3. Step 3: Cross multiply
    591.38x = 886.74 × 524.77
  4. Step 4: Simplify right side
    591.38x = 465,330.12
  5. Step 5: Solve for x
    x = 465,330.12/591.38
  6. Step 6: Final answer
    x = 786.85

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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.