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Finding the Fourth Proportional to 908.65, 1,253.74 and 535.49

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Solution

The fourth proportional to 908.65, 1,253.74 and 535.49 is: 738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.65 : 1,253.74 = 535.49 : x
  2. Step 2: Convert to fraction form
    908.65/1,253.74 = 535.49/x
  3. Step 3: Cross multiply
    908.65x = 1,253.74 × 535.49
  4. Step 4: Simplify right side
    908.65x = 671,356.29
  5. Step 5: Solve for x
    x = 671,356.29/908.65
  6. Step 6: Final answer
    x = 738.85

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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.