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Finding the Fourth Proportional to 1,288.86, 1,778.33 and 784.70

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Solution

The fourth proportional to 1,288.86, 1,778.33 and 784.70 is: 1,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.86 : 1,778.33 = 784.70 : x
  2. Step 2: Convert to fraction form
    1,288.86/1,778.33 = 784.70/x
  3. Step 3: Cross multiply
    1,288.86x = 1,778.33 × 784.70
  4. Step 4: Simplify right side
    1,288.86x = 1,395,461.96
  5. Step 5: Solve for x
    x = 1,395,461.96/1,288.86
  6. Step 6: Final answer
    x = 1,082.71

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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.