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Finding the Fourth Proportional to 1,074.78, 1,610.10 and 842.58

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Solution

The fourth proportional to 1,074.78, 1,610.10 and 842.58 is: 1,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.78 : 1,610.10 = 842.58 : x
  2. Step 2: Convert to fraction form
    1,074.78/1,610.10 = 842.58/x
  3. Step 3: Cross multiply
    1,074.78x = 1,610.10 × 842.58
  4. Step 4: Simplify right side
    1,074.78x = 1,356,638.06
  5. Step 5: Solve for x
    x = 1,356,638.06/1,074.78
  6. Step 6: Final answer
    x = 1,262.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.