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Finding the Fourth Proportional to 908.20, 1,253.26 and 509.84

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Solution

The fourth proportional to 908.20, 1,253.26 and 509.84 is: 703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.20 : 1,253.26 = 509.84 : x
  2. Step 2: Convert to fraction form
    908.20/1,253.26 = 509.84/x
  3. Step 3: Cross multiply
    908.20x = 1,253.26 × 509.84
  4. Step 4: Simplify right side
    908.20x = 638,962.08
  5. Step 5: Solve for x
    x = 638,962.08/908.20
  6. Step 6: Final answer
    x = 703.55

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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.