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Finding the Fourth Proportional to 1,264.65, 1,896.98 and 571.56

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Solution

The fourth proportional to 1,264.65, 1,896.98 and 571.56 is: 857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.65 : 1,896.98 = 571.56 : x
  2. Step 2: Convert to fraction form
    1,264.65/1,896.98 = 571.56/x
  3. Step 3: Cross multiply
    1,264.65x = 1,896.98 × 571.56
  4. Step 4: Simplify right side
    1,264.65x = 1,084,235.03
  5. Step 5: Solve for x
    x = 1,084,235.03/1,264.65
  6. Step 6: Final answer
    x = 857.34

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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.