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Finding the Fourth Proportional to 690, 1,028.91 and 639.78

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Solution

The fourth proportional to 690, 1,028.91 and 639.78 is: 954.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    690 : 1,028.91 = 639.78 : x
  2. Step 2: Convert to fraction form
    690/1,028.91 = 639.78/x
  3. Step 3: Cross multiply
    690x = 1,028.91 × 639.78
  4. Step 4: Simplify right side
    690x = 658,276.04
  5. Step 5: Solve for x
    x = 658,276.04/690
  6. Step 6: Final answer
    x = 954.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.