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Finding the Fourth Proportional to 1,297.81, 1,947.41 and 778.86

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Solution

The fourth proportional to 1,297.81, 1,947.41 and 778.86 is: 1,168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.81 : 1,947.41 = 778.86 : x
  2. Step 2: Convert to fraction form
    1,297.81/1,947.41 = 778.86/x
  3. Step 3: Cross multiply
    1,297.81x = 1,947.41 × 778.86
  4. Step 4: Simplify right side
    1,297.81x = 1,516,746.12
  5. Step 5: Solve for x
    x = 1,516,746.12/1,297.81
  6. Step 6: Final answer
    x = 1,168.70

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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.