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Finding the Fourth Proportional to 1,066.15, 1,471.22 and 587.59

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Solution

The fourth proportional to 1,066.15, 1,471.22 and 587.59 is: 810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.15 : 1,471.22 = 587.59 : x
  2. Step 2: Convert to fraction form
    1,066.15/1,471.22 = 587.59/x
  3. Step 3: Cross multiply
    1,066.15x = 1,471.22 × 587.59
  4. Step 4: Simplify right side
    1,066.15x = 864,468.28
  5. Step 5: Solve for x
    x = 864,468.28/1,066.15
  6. Step 6: Final answer
    x = 810.83

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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.