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Finding the Fourth Proportional to 2,259.29, 3,389.75 and 798.66

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Solution

The fourth proportional to 2,259.29, 3,389.75 and 798.66 is: 1,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.29 : 3,389.75 = 798.66 : x
  2. Step 2: Convert to fraction form
    2,259.29/3,389.75 = 798.66/x
  3. Step 3: Cross multiply
    2,259.29x = 3,389.75 × 798.66
  4. Step 4: Simplify right side
    2,259.29x = 2,707,256.74
  5. Step 5: Solve for x
    x = 2,707,256.74/2,259.29
  6. Step 6: Final answer
    x = 1,198.28

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1.5x scale

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.