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Finding the Fourth Proportional to 949.52, 1,308.30 and 687.08

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Solution

The fourth proportional to 949.52, 1,308.30 and 687.08 is: 946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.52 : 1,308.30 = 687.08 : x
  2. Step 2: Convert to fraction form
    949.52/1,308.30 = 687.08/x
  3. Step 3: Cross multiply
    949.52x = 1,308.30 × 687.08
  4. Step 4: Simplify right side
    949.52x = 898,906.76
  5. Step 5: Solve for x
    x = 898,906.76/949.52
  6. Step 6: Final answer
    x = 946.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.