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Finding the Fourth Proportional to 909.82, 1,255.87 and 537.02

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Solution

The fourth proportional to 909.82, 1,255.87 and 537.02 is: 741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.82 : 1,255.87 = 537.02 : x
  2. Step 2: Convert to fraction form
    909.82/1,255.87 = 537.02/x
  3. Step 3: Cross multiply
    909.82x = 1,255.87 × 537.02
  4. Step 4: Simplify right side
    909.82x = 674,427.31
  5. Step 5: Solve for x
    x = 674,427.31/909.82
  6. Step 6: Final answer
    x = 741.28

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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.