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Finding the Fourth Proportional to 951.68, 1,313.72 and 689.65

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Solution

The fourth proportional to 951.68, 1,313.72 and 689.65 is: 952.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.68 : 1,313.72 = 689.65 : x
  2. Step 2: Convert to fraction form
    951.68/1,313.72 = 689.65/x
  3. Step 3: Cross multiply
    951.68x = 1,313.72 × 689.65
  4. Step 4: Simplify right side
    951.68x = 906,002.85
  5. Step 5: Solve for x
    x = 906,002.85/951.68
  6. Step 6: Final answer
    x = 952.00

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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.