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Finding the Fourth Proportional to 1,259.05, 1,892.67 and 775.17

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Solution

The fourth proportional to 1,259.05, 1,892.67 and 775.17 is: 1,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.05 : 1,892.67 = 775.17 : x
  2. Step 2: Convert to fraction form
    1,259.05/1,892.67 = 775.17/x
  3. Step 3: Cross multiply
    1,259.05x = 1,892.67 × 775.17
  4. Step 4: Simplify right side
    1,259.05x = 1,467,141.00
  5. Step 5: Solve for x
    x = 1,467,141.00/1,259.05
  6. Step 6: Final answer
    x = 1,165.28

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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.