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Finding the Fourth Proportional to 1,766.84, 2,649.81 and 727.13

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Solution

The fourth proportional to 1,766.84, 2,649.81 and 727.13 is: 1,090.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.84 : 2,649.81 = 727.13 : x
  2. Step 2: Convert to fraction form
    1,766.84/2,649.81 = 727.13/x
  3. Step 3: Cross multiply
    1,766.84x = 2,649.81 × 727.13
  4. Step 4: Simplify right side
    1,766.84x = 1,926,756.35
  5. Step 5: Solve for x
    x = 1,926,756.35/1,766.84
  6. Step 6: Final answer
    x = 1,090.51

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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.