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Finding the Fourth Proportional to 799.52, 1,197.12 and 510.08

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Solution

The fourth proportional to 799.52, 1,197.12 and 510.08 is: 763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.52 : 1,197.12 = 510.08 : x
  2. Step 2: Convert to fraction form
    799.52/1,197.12 = 510.08/x
  3. Step 3: Cross multiply
    799.52x = 1,197.12 × 510.08
  4. Step 4: Simplify right side
    799.52x = 610,626.97
  5. Step 5: Solve for x
    x = 610,626.97/799.52
  6. Step 6: Final answer
    x = 763.74

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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.