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Finding the Fourth Proportional to 1,297.83, 1,790.85 and 773.76

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Solution

The fourth proportional to 1,297.83, 1,790.85 and 773.76 is: 1,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.83 : 1,790.85 = 773.76 : x
  2. Step 2: Convert to fraction form
    1,297.83/1,790.85 = 773.76/x
  3. Step 3: Cross multiply
    1,297.83x = 1,790.85 × 773.76
  4. Step 4: Simplify right side
    1,297.83x = 1,385,688.10
  5. Step 5: Solve for x
    x = 1,385,688.10/1,297.83
  6. Step 6: Final answer
    x = 1,067.70

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1.5x scale

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.