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Finding the Fourth Proportional to 874.14, 1,205.75 and 537.87

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Solution

The fourth proportional to 874.14, 1,205.75 and 537.87 is: 741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.14 : 1,205.75 = 537.87 : x
  2. Step 2: Convert to fraction form
    874.14/1,205.75 = 537.87/x
  3. Step 3: Cross multiply
    874.14x = 1,205.75 × 537.87
  4. Step 4: Simplify right side
    874.14x = 648,534.06
  5. Step 5: Solve for x
    x = 648,534.06/874.14
  6. Step 6: Final answer
    x = 741.91

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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.