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Finding the Fourth Proportional to 1,050.11, 1,575.15 and 803.76

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Solution

The fourth proportional to 1,050.11, 1,575.15 and 803.76 is: 1,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.11 : 1,575.15 = 803.76 : x
  2. Step 2: Convert to fraction form
    1,050.11/1,575.15 = 803.76/x
  3. Step 3: Cross multiply
    1,050.11x = 1,575.15 × 803.76
  4. Step 4: Simplify right side
    1,050.11x = 1,266,042.56
  5. Step 5: Solve for x
    x = 1,266,042.56/1,050.11
  6. Step 6: Final answer
    x = 1,205.63

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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.