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Finding the Fourth Proportional to 1,447.94, 2,170.70 and 569.96

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Solution

The fourth proportional to 1,447.94, 2,170.70 and 569.96 is: 854.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.94 : 2,170.70 = 569.96 : x
  2. Step 2: Convert to fraction form
    1,447.94/2,170.70 = 569.96/x
  3. Step 3: Cross multiply
    1,447.94x = 2,170.70 × 569.96
  4. Step 4: Simplify right side
    1,447.94x = 1,237,198.47
  5. Step 5: Solve for x
    x = 1,237,198.47/1,447.94
  6. Step 6: Final answer
    x = 854.45

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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.