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Finding the Fourth Proportional to 1,369.73, 2,054.59 and 638.90

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Solution

The fourth proportional to 1,369.73, 2,054.59 and 638.90 is: 958.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.73 : 2,054.59 = 638.90 : x
  2. Step 2: Convert to fraction form
    1,369.73/2,054.59 = 638.90/x
  3. Step 3: Cross multiply
    1,369.73x = 2,054.59 × 638.90
  4. Step 4: Simplify right side
    1,369.73x = 1,312,677.55
  5. Step 5: Solve for x
    x = 1,312,677.55/1,369.73
  6. Step 6: Final answer
    x = 958.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.