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Finding the Fourth Proportional to 1,022.61, 1,540.73 and 925.22

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Solution

The fourth proportional to 1,022.61, 1,540.73 and 925.22 is: 1,394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.61 : 1,540.73 = 925.22 : x
  2. Step 2: Convert to fraction form
    1,022.61/1,540.73 = 925.22/x
  3. Step 3: Cross multiply
    1,022.61x = 1,540.73 × 925.22
  4. Step 4: Simplify right side
    1,022.61x = 1,425,514.21
  5. Step 5: Solve for x
    x = 1,425,514.21/1,022.61
  6. Step 6: Final answer
    x = 1,394.00

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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.