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Finding the Fourth Proportional to 717.76, 1,077.54 and 564.22

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Solution

The fourth proportional to 717.76, 1,077.54 and 564.22 is: 847.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.76 : 1,077.54 = 564.22 : x
  2. Step 2: Convert to fraction form
    717.76/1,077.54 = 564.22/x
  3. Step 3: Cross multiply
    717.76x = 1,077.54 × 564.22
  4. Step 4: Simplify right side
    717.76x = 607,969.62
  5. Step 5: Solve for x
    x = 607,969.62/717.76
  6. Step 6: Final answer
    x = 847.04

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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.