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Finding the Fourth Proportional to 1,057.40, 1,586.10 and 363.84

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Solution

The fourth proportional to 1,057.40, 1,586.10 and 363.84 is: 545.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.40 : 1,586.10 = 363.84 : x
  2. Step 2: Convert to fraction form
    1,057.40/1,586.10 = 363.84/x
  3. Step 3: Cross multiply
    1,057.40x = 1,586.10 × 363.84
  4. Step 4: Simplify right side
    1,057.40x = 577,086.62
  5. Step 5: Solve for x
    x = 577,086.62/1,057.40
  6. Step 6: Final answer
    x = 545.76

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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.