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Finding the Fourth Proportional to 1,297.19, 1,790.52 and 800.55

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Solution

The fourth proportional to 1,297.19, 1,790.52 and 800.55 is: 1,105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.19 : 1,790.52 = 800.55 : x
  2. Step 2: Convert to fraction form
    1,297.19/1,790.52 = 800.55/x
  3. Step 3: Cross multiply
    1,297.19x = 1,790.52 × 800.55
  4. Step 4: Simplify right side
    1,297.19x = 1,433,400.79
  5. Step 5: Solve for x
    x = 1,433,400.79/1,297.19
  6. Step 6: Final answer
    x = 1,105.01

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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.