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Finding the Fourth Proportional to 1,258.15, 1,736.10 and 698.53

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Solution

The fourth proportional to 1,258.15, 1,736.10 and 698.53 is: 963.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.15 : 1,736.10 = 698.53 : x
  2. Step 2: Convert to fraction form
    1,258.15/1,736.10 = 698.53/x
  3. Step 3: Cross multiply
    1,258.15x = 1,736.10 × 698.53
  4. Step 4: Simplify right side
    1,258.15x = 1,212,717.93
  5. Step 5: Solve for x
    x = 1,212,717.93/1,258.15
  6. Step 6: Final answer
    x = 963.89

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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.