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Finding the Fourth Proportional to 1,297.72, 1,944.05 and 778.16

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Solution

The fourth proportional to 1,297.72, 1,944.05 and 778.16 is: 1,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.72 : 1,944.05 = 778.16 : x
  2. Step 2: Convert to fraction form
    1,297.72/1,944.05 = 778.16/x
  3. Step 3: Cross multiply
    1,297.72x = 1,944.05 × 778.16
  4. Step 4: Simplify right side
    1,297.72x = 1,512,776.36
  5. Step 5: Solve for x
    x = 1,512,776.36/1,297.72
  6. Step 6: Final answer
    x = 1,165.72

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