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Finding the Fourth Proportional to 1,408.42, 1,943.63 and 778.92

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Solution

The fourth proportional to 1,408.42, 1,943.63 and 778.92 is: 1,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.42 : 1,943.63 = 778.92 : x
  2. Step 2: Convert to fraction form
    1,408.42/1,943.63 = 778.92/x
  3. Step 3: Cross multiply
    1,408.42x = 1,943.63 × 778.92
  4. Step 4: Simplify right side
    1,408.42x = 1,513,924.51
  5. Step 5: Solve for x
    x = 1,513,924.51/1,408.42
  6. Step 6: Final answer
    x = 1,074.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.