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Finding the Fourth Proportional to 1,264.95, 1,896.65 and 534.15

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Solution

The fourth proportional to 1,264.95, 1,896.65 and 534.15 is: 800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.95 : 1,896.65 = 534.15 : x
  2. Step 2: Convert to fraction form
    1,264.95/1,896.65 = 534.15/x
  3. Step 3: Cross multiply
    1,264.95x = 1,896.65 × 534.15
  4. Step 4: Simplify right side
    1,264.95x = 1,013,092.93
  5. Step 5: Solve for x
    x = 1,013,092.93/1,264.95
  6. Step 6: Final answer
    x = 800.90

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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.