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Finding the Fourth Proportional to 1,785.11, 2,677.68 and 630.86

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Solution

The fourth proportional to 1,785.11, 2,677.68 and 630.86 is: 946.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.11 : 2,677.68 = 630.86 : x
  2. Step 2: Convert to fraction form
    1,785.11/2,677.68 = 630.86/x
  3. Step 3: Cross multiply
    1,785.11x = 2,677.68 × 630.86
  4. Step 4: Simplify right side
    1,785.11x = 1,689,238.05
  5. Step 5: Solve for x
    x = 1,689,238.05/1,785.11
  6. Step 6: Final answer
    x = 946.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.