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Finding the Fourth Proportional to 1,026.77, 1,540.31 and 506.70

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Solution

The fourth proportional to 1,026.77, 1,540.31 and 506.70 is: 760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.77 : 1,540.31 = 506.70 : x
  2. Step 2: Convert to fraction form
    1,026.77/1,540.31 = 506.70/x
  3. Step 3: Cross multiply
    1,026.77x = 1,540.31 × 506.70
  4. Step 4: Simplify right side
    1,026.77x = 780,472.54
  5. Step 5: Solve for x
    x = 780,472.54/1,026.77
  6. Step 6: Final answer
    x = 760.13

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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.