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Finding the Fourth Proportional to 908.12, 1,252.90 and 509.72

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Solution

The fourth proportional to 908.12, 1,252.90 and 509.72 is: 703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.12 : 1,252.90 = 509.72 : x
  2. Step 2: Convert to fraction form
    908.12/1,252.90 = 509.72/x
  3. Step 3: Cross multiply
    908.12x = 1,252.90 × 509.72
  4. Step 4: Simplify right side
    908.12x = 638,630.05
  5. Step 5: Solve for x
    x = 638,630.05/908.12
  6. Step 6: Final answer
    x = 703.25

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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.