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Finding the Fourth Proportional to 1,265.52, 1,899.29 and 535.61

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Solution

The fourth proportional to 1,265.52, 1,899.29 and 535.61 is: 803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.52 : 1,899.29 = 535.61 : x
  2. Step 2: Convert to fraction form
    1,265.52/1,899.29 = 535.61/x
  3. Step 3: Cross multiply
    1,265.52x = 1,899.29 × 535.61
  4. Step 4: Simplify right side
    1,265.52x = 1,017,270.56
  5. Step 5: Solve for x
    x = 1,017,270.56/1,265.52
  6. Step 6: Final answer
    x = 803.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.