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Finding the Fourth Proportional to 991.41, 1,367.14 and 598.20

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Solution

The fourth proportional to 991.41, 1,367.14 and 598.20 is: 824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.41 : 1,367.14 = 598.20 : x
  2. Step 2: Convert to fraction form
    991.41/1,367.14 = 598.20/x
  3. Step 3: Cross multiply
    991.41x = 1,367.14 × 598.20
  4. Step 4: Simplify right side
    991.41x = 817,823.15
  5. Step 5: Solve for x
    x = 817,823.15/991.41
  6. Step 6: Final answer
    x = 824.91

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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.