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Finding the Fourth Proportional to 1,076.50, 1,485.75 and 814.06

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Solution

The fourth proportional to 1,076.50, 1,485.75 and 814.06 is: 1,123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.50 : 1,485.75 = 814.06 : x
  2. Step 2: Convert to fraction form
    1,076.50/1,485.75 = 814.06/x
  3. Step 3: Cross multiply
    1,076.50x = 1,485.75 × 814.06
  4. Step 4: Simplify right side
    1,076.50x = 1,209,489.65
  5. Step 5: Solve for x
    x = 1,209,489.65/1,076.50
  6. Step 6: Final answer
    x = 1,123.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.