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Finding the Fourth Proportional to 1,076.23, 1,484.69 and 677.71

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Solution

The fourth proportional to 1,076.23, 1,484.69 and 677.71 is: 934.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.23 : 1,484.69 = 677.71 : x
  2. Step 2: Convert to fraction form
    1,076.23/1,484.69 = 677.71/x
  3. Step 3: Cross multiply
    1,076.23x = 1,484.69 × 677.71
  4. Step 4: Simplify right side
    1,076.23x = 1,006,178.45
  5. Step 5: Solve for x
    x = 1,006,178.45/1,076.23
  6. Step 6: Final answer
    x = 934.91

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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.