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Finding the Fourth Proportional to 1,038.36, 1,565.19 and 950.73

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Solution

The fourth proportional to 1,038.36, 1,565.19 and 950.73 is: 1,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.36 : 1,565.19 = 950.73 : x
  2. Step 2: Convert to fraction form
    1,038.36/1,565.19 = 950.73/x
  3. Step 3: Cross multiply
    1,038.36x = 1,565.19 × 950.73
  4. Step 4: Simplify right side
    1,038.36x = 1,488,073.09
  5. Step 5: Solve for x
    x = 1,488,073.09/1,038.36
  6. Step 6: Final answer
    x = 1,433.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.