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Finding the Fourth Proportional to 954.75, 1,317.92 and 689.70

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Solution

The fourth proportional to 954.75, 1,317.92 and 689.70 is: 952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.75 : 1,317.92 = 689.70 : x
  2. Step 2: Convert to fraction form
    954.75/1,317.92 = 689.70/x
  3. Step 3: Cross multiply
    954.75x = 1,317.92 × 689.70
  4. Step 4: Simplify right side
    954.75x = 908,965.98
  5. Step 5: Solve for x
    x = 908,965.98/954.75
  6. Step 6: Final answer
    x = 952.05

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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.