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Finding the Fourth Proportional to 1,264.55, 1,896.66 and 534.03

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Solution

The fourth proportional to 1,264.55, 1,896.66 and 534.03 is: 800.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.55 : 1,896.66 = 534.03 : x
  2. Step 2: Convert to fraction form
    1,264.55/1,896.66 = 534.03/x
  3. Step 3: Cross multiply
    1,264.55x = 1,896.66 × 534.03
  4. Step 4: Simplify right side
    1,264.55x = 1,012,866.23
  5. Step 5: Solve for x
    x = 1,012,866.23/1,264.55
  6. Step 6: Final answer
    x = 800.97

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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.