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Finding the Fourth Proportional to 908.75, 1,254.21 and 535.61

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Solution

The fourth proportional to 908.75, 1,254.21 and 535.61 is: 739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.75 : 1,254.21 = 535.61 : x
  2. Step 2: Convert to fraction form
    908.75/1,254.21 = 535.61/x
  3. Step 3: Cross multiply
    908.75x = 1,254.21 × 535.61
  4. Step 4: Simplify right side
    908.75x = 671,767.42
  5. Step 5: Solve for x
    x = 671,767.42/908.75
  6. Step 6: Final answer
    x = 739.22

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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.