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Finding the Fourth Proportional to 1,057.05, 1,585.31 and 363.69

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Solution

The fourth proportional to 1,057.05, 1,585.31 and 363.69 is: 545.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.05 : 1,585.31 = 363.69 : x
  2. Step 2: Convert to fraction form
    1,057.05/1,585.31 = 363.69/x
  3. Step 3: Cross multiply
    1,057.05x = 1,585.31 × 363.69
  4. Step 4: Simplify right side
    1,057.05x = 576,559.58
  5. Step 5: Solve for x
    x = 576,559.58/1,057.05
  6. Step 6: Final answer
    x = 545.44

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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.