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Finding the Fourth Proportional to 1,050.39, 1,575.65 and 803.94

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Solution

The fourth proportional to 1,050.39, 1,575.65 and 803.94 is: 1,205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.39 : 1,575.65 = 803.94 : x
  2. Step 2: Convert to fraction form
    1,050.39/1,575.65 = 803.94/x
  3. Step 3: Cross multiply
    1,050.39x = 1,575.65 × 803.94
  4. Step 4: Simplify right side
    1,050.39x = 1,266,724.04
  5. Step 5: Solve for x
    x = 1,266,724.04/1,050.39
  6. Step 6: Final answer
    x = 1,205.96

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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.