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Finding the Fourth Proportional to 716.90, 1,072.71 and 586.58

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Solution

The fourth proportional to 716.90, 1,072.71 and 586.58 is: 877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.90 : 1,072.71 = 586.58 : x
  2. Step 2: Convert to fraction form
    716.90/1,072.71 = 586.58/x
  3. Step 3: Cross multiply
    716.90x = 1,072.71 × 586.58
  4. Step 4: Simplify right side
    716.90x = 629,224.87
  5. Step 5: Solve for x
    x = 629,224.87/716.90
  6. Step 6: Final answer
    x = 877.71

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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.