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Finding the Fourth Proportional to 1,057.70, 1,586.25 and 317.39

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Solution

The fourth proportional to 1,057.70, 1,586.25 and 317.39 is: 475.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.70 : 1,586.25 = 317.39 : x
  2. Step 2: Convert to fraction form
    1,057.70/1,586.25 = 317.39/x
  3. Step 3: Cross multiply
    1,057.70x = 1,586.25 × 317.39
  4. Step 4: Simplify right side
    1,057.70x = 503,451.96
  5. Step 5: Solve for x
    x = 503,451.96/1,057.70
  6. Step 6: Final answer
    x = 475.99

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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.