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Finding the Fourth Proportional to 1,258.02, 1,735.98 and 698.46

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Solution

The fourth proportional to 1,258.02, 1,735.98 and 698.46 is: 963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.02 : 1,735.98 = 698.46 : x
  2. Step 2: Convert to fraction form
    1,258.02/1,735.98 = 698.46/x
  3. Step 3: Cross multiply
    1,258.02x = 1,735.98 × 698.46
  4. Step 4: Simplify right side
    1,258.02x = 1,212,512.59
  5. Step 5: Solve for x
    x = 1,212,512.59/1,258.02
  6. Step 6: Final answer
    x = 963.83

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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.