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Finding the Fourth Proportional to 798.95, 1,197.70 and 387.51

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Solution

The fourth proportional to 798.95, 1,197.70 and 387.51 is: 580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.95 : 1,197.70 = 387.51 : x
  2. Step 2: Convert to fraction form
    798.95/1,197.70 = 387.51/x
  3. Step 3: Cross multiply
    798.95x = 1,197.70 × 387.51
  4. Step 4: Simplify right side
    798.95x = 464,120.73
  5. Step 5: Solve for x
    x = 464,120.73/798.95
  6. Step 6: Final answer
    x = 580.91

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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.