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Finding the Fourth Proportional to 991.44, 1,368.48 and 598.80

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Solution

The fourth proportional to 991.44, 1,368.48 and 598.80 is: 826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.44 : 1,368.48 = 598.80 : x
  2. Step 2: Convert to fraction form
    991.44/1,368.48 = 598.80/x
  3. Step 3: Cross multiply
    991.44x = 1,368.48 × 598.80
  4. Step 4: Simplify right side
    991.44x = 819,445.82
  5. Step 5: Solve for x
    x = 819,445.82/991.44
  6. Step 6: Final answer
    x = 826.52

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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.