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Finding the Fourth Proportional to 798.31, 1,200.03 and 583.39

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Solution

The fourth proportional to 798.31, 1,200.03 and 583.39 is: 876.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.31 : 1,200.03 = 583.39 : x
  2. Step 2: Convert to fraction form
    798.31/1,200.03 = 583.39/x
  3. Step 3: Cross multiply
    798.31x = 1,200.03 × 583.39
  4. Step 4: Simplify right side
    798.31x = 700,085.50
  5. Step 5: Solve for x
    x = 700,085.50/798.31
  6. Step 6: Final answer
    x = 876.96

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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.