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Finding the Fourth Proportional to 798.92, 1,199.16 and 510.56

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Solution

The fourth proportional to 798.92, 1,199.16 and 510.56 is: 766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.92 : 1,199.16 = 510.56 : x
  2. Step 2: Convert to fraction form
    798.92/1,199.16 = 510.56/x
  3. Step 3: Cross multiply
    798.92x = 1,199.16 × 510.56
  4. Step 4: Simplify right side
    798.92x = 612,243.13
  5. Step 5: Solve for x
    x = 612,243.13/798.92
  6. Step 6: Final answer
    x = 766.34

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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.