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Finding the Fourth Proportional to 1,026.27, 1,540.01 and 616.21

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Solution

The fourth proportional to 1,026.27, 1,540.01 and 616.21 is: 924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.27 : 1,540.01 = 616.21 : x
  2. Step 2: Convert to fraction form
    1,026.27/1,540.01 = 616.21/x
  3. Step 3: Cross multiply
    1,026.27x = 1,540.01 × 616.21
  4. Step 4: Simplify right side
    1,026.27x = 948,967.25
  5. Step 5: Solve for x
    x = 948,967.25/1,026.27
  6. Step 6: Final answer
    x = 924.68

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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.