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Finding the Fourth Proportional to 991.28, 1,368.09 and 598.23

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Solution

The fourth proportional to 991.28, 1,368.09 and 598.23 is: 825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.28 : 1,368.09 = 598.23 : x
  2. Step 2: Convert to fraction form
    991.28/1,368.09 = 598.23/x
  3. Step 3: Cross multiply
    991.28x = 1,368.09 × 598.23
  4. Step 4: Simplify right side
    991.28x = 818,432.48
  5. Step 5: Solve for x
    x = 818,432.48/991.28
  6. Step 6: Final answer
    x = 825.63

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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.