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Finding the Fourth Proportional to 1,403.71, 2,105.66 and 786.95

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Solution

The fourth proportional to 1,403.71, 2,105.66 and 786.95 is: 1,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.71 : 2,105.66 = 786.95 : x
  2. Step 2: Convert to fraction form
    1,403.71/2,105.66 = 786.95/x
  3. Step 3: Cross multiply
    1,403.71x = 2,105.66 × 786.95
  4. Step 4: Simplify right side
    1,403.71x = 1,657,049.14
  5. Step 5: Solve for x
    x = 1,657,049.14/1,403.71
  6. Step 6: Final answer
    x = 1,180.48

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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.