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Finding the Fourth Proportional to 1,167.24, 1,610.10 and 819.48

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Solution

The fourth proportional to 1,167.24, 1,610.10 and 819.48 is: 1,130.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.24 : 1,610.10 = 819.48 : x
  2. Step 2: Convert to fraction form
    1,167.24/1,610.10 = 819.48/x
  3. Step 3: Cross multiply
    1,167.24x = 1,610.10 × 819.48
  4. Step 4: Simplify right side
    1,167.24x = 1,319,444.75
  5. Step 5: Solve for x
    x = 1,319,444.75/1,167.24
  6. Step 6: Final answer
    x = 1,130.40

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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.