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Finding the Fourth Proportional to 1,108.95, 1,531.53 and 842.87

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Solution

The fourth proportional to 1,108.95, 1,531.53 and 842.87 is: 1,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.95 : 1,531.53 = 842.87 : x
  2. Step 2: Convert to fraction form
    1,108.95/1,531.53 = 842.87/x
  3. Step 3: Cross multiply
    1,108.95x = 1,531.53 × 842.87
  4. Step 4: Simplify right side
    1,108.95x = 1,290,873.03
  5. Step 5: Solve for x
    x = 1,290,873.03/1,108.95
  6. Step 6: Final answer
    x = 1,164.05

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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.