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Finding the Fourth Proportional to 908.59, 1,253.84 and 535.59

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Solution

The fourth proportional to 908.59, 1,253.84 and 535.59 is: 739.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.59 : 1,253.84 = 535.59 : x
  2. Step 2: Convert to fraction form
    908.59/1,253.84 = 535.59/x
  3. Step 3: Cross multiply
    908.59x = 1,253.84 × 535.59
  4. Step 4: Simplify right side
    908.59x = 671,544.17
  5. Step 5: Solve for x
    x = 671,544.17/908.59
  6. Step 6: Final answer
    x = 739.11

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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.