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Finding the Fourth Proportional to 1,057.80, 1,586.70 and 277.80

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Solution

The fourth proportional to 1,057.80, 1,586.70 and 277.80 is: 416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.80 : 1,586.70 = 277.80 : x
  2. Step 2: Convert to fraction form
    1,057.80/1,586.70 = 277.80/x
  3. Step 3: Cross multiply
    1,057.80x = 1,586.70 × 277.80
  4. Step 4: Simplify right side
    1,057.80x = 440,785.26
  5. Step 5: Solve for x
    x = 440,785.26/1,057.80
  6. Step 6: Final answer
    x = 416.70

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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.