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Finding the Fourth Proportional to 908.03, 1,253.13 and 534.93

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Solution

The fourth proportional to 908.03, 1,253.13 and 534.93 is: 738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.03 : 1,253.13 = 534.93 : x
  2. Step 2: Convert to fraction form
    908.03/1,253.13 = 534.93/x
  3. Step 3: Cross multiply
    908.03x = 1,253.13 × 534.93
  4. Step 4: Simplify right side
    908.03x = 670,336.83
  5. Step 5: Solve for x
    x = 670,336.83/908.03
  6. Step 6: Final answer
    x = 738.23

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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.