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Finding the Fourth Proportional to 1,285.75, 1,927.97 and 591.82

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Solution

The fourth proportional to 1,285.75, 1,927.97 and 591.82 is: 887.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.75 : 1,927.97 = 591.82 : x
  2. Step 2: Convert to fraction form
    1,285.75/1,927.97 = 591.82/x
  3. Step 3: Cross multiply
    1,285.75x = 1,927.97 × 591.82
  4. Step 4: Simplify right side
    1,285.75x = 1,141,005.65
  5. Step 5: Solve for x
    x = 1,141,005.65/1,285.75
  6. Step 6: Final answer
    x = 887.42

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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.