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Finding the Fourth Proportional to 1,264.23, 1,896.27 and 533.82

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Solution

The fourth proportional to 1,264.23, 1,896.27 and 533.82 is: 800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.23 : 1,896.27 = 533.82 : x
  2. Step 2: Convert to fraction form
    1,264.23/1,896.27 = 533.82/x
  3. Step 3: Cross multiply
    1,264.23x = 1,896.27 × 533.82
  4. Step 4: Simplify right side
    1,264.23x = 1,012,266.85
  5. Step 5: Solve for x
    x = 1,012,266.85/1,264.23
  6. Step 6: Final answer
    x = 800.70

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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.