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Finding the Fourth Proportional to 1,261.45, 1,892.69 and 568.45

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Solution

The fourth proportional to 1,261.45, 1,892.69 and 568.45 is: 852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.45 : 1,892.69 = 568.45 : x
  2. Step 2: Convert to fraction form
    1,261.45/1,892.69 = 568.45/x
  3. Step 3: Cross multiply
    1,261.45x = 1,892.69 × 568.45
  4. Step 4: Simplify right side
    1,261.45x = 1,075,900.69
  5. Step 5: Solve for x
    x = 1,075,900.69/1,261.45
  6. Step 6: Final answer
    x = 852.90

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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.