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Finding the Fourth Proportional to 908.09, 1,253.12 and 509.82

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Solution

The fourth proportional to 908.09, 1,253.12 and 509.82 is: 703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.09 : 1,253.12 = 509.82 : x
  2. Step 2: Convert to fraction form
    908.09/1,253.12 = 509.82/x
  3. Step 3: Cross multiply
    908.09x = 1,253.12 × 509.82
  4. Step 4: Simplify right side
    908.09x = 638,863.09
  5. Step 5: Solve for x
    x = 638,863.09/908.09
  6. Step 6: Final answer
    x = 703.52

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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.