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Finding the Fourth Proportional to 991.90, 1,495.82 and 985.42

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Solution

The fourth proportional to 991.90, 1,495.82 and 985.42 is: 1,486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.90 : 1,495.82 = 985.42 : x
  2. Step 2: Convert to fraction form
    991.90/1,495.82 = 985.42/x
  3. Step 3: Cross multiply
    991.90x = 1,495.82 × 985.42
  4. Step 4: Simplify right side
    991.90x = 1,474,010.94
  5. Step 5: Solve for x
    x = 1,474,010.94/991.90
  6. Step 6: Final answer
    x = 1,486.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.