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Finding the Fourth Proportional to 1,798.11, 2,696.76 and 565.49

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Solution

The fourth proportional to 1,798.11, 2,696.76 and 565.49 is: 848.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.11 : 2,696.76 = 565.49 : x
  2. Step 2: Convert to fraction form
    1,798.11/2,696.76 = 565.49/x
  3. Step 3: Cross multiply
    1,798.11x = 2,696.76 × 565.49
  4. Step 4: Simplify right side
    1,798.11x = 1,524,997.55
  5. Step 5: Solve for x
    x = 1,524,997.55/1,798.11
  6. Step 6: Final answer
    x = 848.11

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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.