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Finding the Fourth Proportional to 908.85, 1,253.70 and 535.71

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Solution

The fourth proportional to 908.85, 1,253.70 and 535.71 is: 738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.85 : 1,253.70 = 535.71 : x
  2. Step 2: Convert to fraction form
    908.85/1,253.70 = 535.71/x
  3. Step 3: Cross multiply
    908.85x = 1,253.70 × 535.71
  4. Step 4: Simplify right side
    908.85x = 671,619.63
  5. Step 5: Solve for x
    x = 671,619.63/908.85
  6. Step 6: Final answer
    x = 738.98

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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.