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Finding the Fourth Proportional to 1,057.15, 1,585.97 and 363.81

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Solution

The fourth proportional to 1,057.15, 1,585.97 and 363.81 is: 545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.15 : 1,585.97 = 363.81 : x
  2. Step 2: Convert to fraction form
    1,057.15/1,585.97 = 363.81/x
  3. Step 3: Cross multiply
    1,057.15x = 1,585.97 × 363.81
  4. Step 4: Simplify right side
    1,057.15x = 576,997.24
  5. Step 5: Solve for x
    x = 576,997.24/1,057.15
  6. Step 6: Final answer
    x = 545.80

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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.