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Finding the Fourth Proportional to 1,261.50, 1,892.97 and 577.50

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Solution

The fourth proportional to 1,261.50, 1,892.97 and 577.50 is: 866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.50 : 1,892.97 = 577.50 : x
  2. Step 2: Convert to fraction form
    1,261.50/1,892.97 = 577.50/x
  3. Step 3: Cross multiply
    1,261.50x = 1,892.97 × 577.50
  4. Step 4: Simplify right side
    1,261.50x = 1,093,190.18
  5. Step 5: Solve for x
    x = 1,093,190.18/1,261.50
  6. Step 6: Final answer
    x = 866.58

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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.