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Finding the Fourth Proportional to 1,447.63, 2,171.32 and 569.64

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Solution

The fourth proportional to 1,447.63, 2,171.32 and 569.64 is: 854.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.63 : 2,171.32 = 569.64 : x
  2. Step 2: Convert to fraction form
    1,447.63/2,171.32 = 569.64/x
  3. Step 3: Cross multiply
    1,447.63x = 2,171.32 × 569.64
  4. Step 4: Simplify right side
    1,447.63x = 1,236,859.87
  5. Step 5: Solve for x
    x = 1,236,859.87/1,447.63
  6. Step 6: Final answer
    x = 854.40

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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.