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Finding the Fourth Proportional to 717.12, 989.28 and 510.24

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Solution

The fourth proportional to 717.12, 989.28 and 510.24 is: 703.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.12 : 989.28 = 510.24 : x
  2. Step 2: Convert to fraction form
    717.12/989.28 = 510.24/x
  3. Step 3: Cross multiply
    717.12x = 989.28 × 510.24
  4. Step 4: Simplify right side
    717.12x = 504,770.23
  5. Step 5: Solve for x
    x = 504,770.23/717.12
  6. Step 6: Final answer
    x = 703.89

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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.