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Finding the Fourth Proportional to 1,038.44, 1,559.28 and 992.27

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Solution

The fourth proportional to 1,038.44, 1,559.28 and 992.27 is: 1,489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.44 : 1,559.28 = 992.27 : x
  2. Step 2: Convert to fraction form
    1,038.44/1,559.28 = 992.27/x
  3. Step 3: Cross multiply
    1,038.44x = 1,559.28 × 992.27
  4. Step 4: Simplify right side
    1,038.44x = 1,547,226.77
  5. Step 5: Solve for x
    x = 1,547,226.77/1,038.44
  6. Step 6: Final answer
    x = 1,489.95

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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.