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Finding the Fourth Proportional to 1,021.48, 1,411.71 and 772.72

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Solution

The fourth proportional to 1,021.48, 1,411.71 and 772.72 is: 1,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.48 : 1,411.71 = 772.72 : x
  2. Step 2: Convert to fraction form
    1,021.48/1,411.71 = 772.72/x
  3. Step 3: Cross multiply
    1,021.48x = 1,411.71 × 772.72
  4. Step 4: Simplify right side
    1,021.48x = 1,090,856.55
  5. Step 5: Solve for x
    x = 1,090,856.55/1,021.48
  6. Step 6: Final answer
    x = 1,067.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.