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Finding the Fourth Proportional to 591.56, 886.19 and 524.60

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Solution

The fourth proportional to 591.56, 886.19 and 524.60 is: 785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.56 : 886.19 = 524.60 : x
  2. Step 2: Convert to fraction form
    591.56/886.19 = 524.60/x
  3. Step 3: Cross multiply
    591.56x = 886.19 × 524.60
  4. Step 4: Simplify right side
    591.56x = 464,888.22
  5. Step 5: Solve for x
    x = 464,888.22/591.56
  6. Step 6: Final answer
    x = 785.87

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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.