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Finding the Fourth Proportional to 1,169.42, 1,610.31 and 837.27

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Solution

The fourth proportional to 1,169.42, 1,610.31 and 837.27 is: 1,152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.42 : 1,610.31 = 837.27 : x
  2. Step 2: Convert to fraction form
    1,169.42/1,610.31 = 837.27/x
  3. Step 3: Cross multiply
    1,169.42x = 1,610.31 × 837.27
  4. Step 4: Simplify right side
    1,169.42x = 1,348,264.25
  5. Step 5: Solve for x
    x = 1,348,264.25/1,169.42
  6. Step 6: Final answer
    x = 1,152.94

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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.