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Finding the Fourth Proportional to 591.56, 886.58 and 518.26

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Solution

The fourth proportional to 591.56, 886.58 and 518.26 is: 776.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.56 : 886.58 = 518.26 : x
  2. Step 2: Convert to fraction form
    591.56/886.58 = 518.26/x
  3. Step 3: Cross multiply
    591.56x = 886.58 × 518.26
  4. Step 4: Simplify right side
    591.56x = 459,478.95
  5. Step 5: Solve for x
    x = 459,478.95/591.56
  6. Step 6: Final answer
    x = 776.72

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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.