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Finding the Fourth Proportional to 1,041.34, 1,438.95 and 990.73

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Solution

The fourth proportional to 1,041.34, 1,438.95 and 990.73 is: 1,369.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.34 : 1,438.95 = 990.73 : x
  2. Step 2: Convert to fraction form
    1,041.34/1,438.95 = 990.73/x
  3. Step 3: Cross multiply
    1,041.34x = 1,438.95 × 990.73
  4. Step 4: Simplify right side
    1,041.34x = 1,425,610.93
  5. Step 5: Solve for x
    x = 1,425,610.93/1,041.34
  6. Step 6: Final answer
    x = 1,369.02

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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.