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Finding the Fourth Proportional to 717.88, 1,077.12 and 393.16

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Solution

The fourth proportional to 717.88, 1,077.12 and 393.16 is: 589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.88 : 1,077.12 = 393.16 : x
  2. Step 2: Convert to fraction form
    717.88/1,077.12 = 393.16/x
  3. Step 3: Cross multiply
    717.88x = 1,077.12 × 393.16
  4. Step 4: Simplify right side
    717.88x = 423,480.50
  5. Step 5: Solve for x
    x = 423,480.50/717.88
  6. Step 6: Final answer
    x = 589.90

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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.