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Finding the Fourth Proportional to 1,258.43, 1,736.61 and 691.28

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Solution

The fourth proportional to 1,258.43, 1,736.61 and 691.28 is: 953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.43 : 1,736.61 = 691.28 : x
  2. Step 2: Convert to fraction form
    1,258.43/1,736.61 = 691.28/x
  3. Step 3: Cross multiply
    1,258.43x = 1,736.61 × 691.28
  4. Step 4: Simplify right side
    1,258.43x = 1,200,483.76
  5. Step 5: Solve for x
    x = 1,200,483.76/1,258.43
  6. Step 6: Final answer
    x = 953.95

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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.