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Finding the Fourth Proportional to 1,057.59, 1,586.84 and 814.59

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Solution

The fourth proportional to 1,057.59, 1,586.84 and 814.59 is: 1,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.59 : 1,586.84 = 814.59 : x
  2. Step 2: Convert to fraction form
    1,057.59/1,586.84 = 814.59/x
  3. Step 3: Cross multiply
    1,057.59x = 1,586.84 × 814.59
  4. Step 4: Simplify right side
    1,057.59x = 1,292,619.92
  5. Step 5: Solve for x
    x = 1,292,619.92/1,057.59
  6. Step 6: Final answer
    x = 1,222.23

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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.