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Finding the Fourth Proportional to 1,027.51, 1,540.66 and 565.17

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Solution

The fourth proportional to 1,027.51, 1,540.66 and 565.17 is: 847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.51 : 1,540.66 = 565.17 : x
  2. Step 2: Convert to fraction form
    1,027.51/1,540.66 = 565.17/x
  3. Step 3: Cross multiply
    1,027.51x = 1,540.66 × 565.17
  4. Step 4: Simplify right side
    1,027.51x = 870,734.81
  5. Step 5: Solve for x
    x = 870,734.81/1,027.51
  6. Step 6: Final answer
    x = 847.42

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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.