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Finding the Fourth Proportional to 1,431.94, 2,145.75 and 565.78

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Solution

The fourth proportional to 1,431.94, 2,145.75 and 565.78 is: 847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.94 : 2,145.75 = 565.78 : x
  2. Step 2: Convert to fraction form
    1,431.94/2,145.75 = 565.78/x
  3. Step 3: Cross multiply
    1,431.94x = 2,145.75 × 565.78
  4. Step 4: Simplify right side
    1,431.94x = 1,214,022.44
  5. Step 5: Solve for x
    x = 1,214,022.44/1,431.94
  6. Step 6: Final answer
    x = 847.82

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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.