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Finding the Fourth Proportional to 717.28, 989.48 and 469.02

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Solution

The fourth proportional to 717.28, 989.48 and 469.02 is: 647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.28 : 989.48 = 469.02 : x
  2. Step 2: Convert to fraction form
    717.28/989.48 = 469.02/x
  3. Step 3: Cross multiply
    717.28x = 989.48 × 469.02
  4. Step 4: Simplify right side
    717.28x = 464,085.91
  5. Step 5: Solve for x
    x = 464,085.91/717.28
  6. Step 6: Final answer
    x = 647.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.