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Finding the Fourth Proportional to 1,493.88, 2,241.47 and 569.72

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Solution

The fourth proportional to 1,493.88, 2,241.47 and 569.72 is: 854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.88 : 2,241.47 = 569.72 : x
  2. Step 2: Convert to fraction form
    1,493.88/2,241.47 = 569.72/x
  3. Step 3: Cross multiply
    1,493.88x = 2,241.47 × 569.72
  4. Step 4: Simplify right side
    1,493.88x = 1,276,996.23
  5. Step 5: Solve for x
    x = 1,276,996.23/1,493.88
  6. Step 6: Final answer
    x = 854.82

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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.