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Finding the Fourth Proportional to 908.75, 1,254.35 and 535.82

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Solution

The fourth proportional to 908.75, 1,254.35 and 535.82 is: 739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.75 : 1,254.35 = 535.82 : x
  2. Step 2: Convert to fraction form
    908.75/1,254.35 = 535.82/x
  3. Step 3: Cross multiply
    908.75x = 1,254.35 × 535.82
  4. Step 4: Simplify right side
    908.75x = 672,100.88
  5. Step 5: Solve for x
    x = 672,100.88/908.75
  6. Step 6: Final answer
    x = 739.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.