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Finding the Fourth Proportional to 1,373.87, 1,896.13 and 814.82

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Solution

The fourth proportional to 1,373.87, 1,896.13 and 814.82 is: 1,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.87 : 1,896.13 = 814.82 : x
  2. Step 2: Convert to fraction form
    1,373.87/1,896.13 = 814.82/x
  3. Step 3: Cross multiply
    1,373.87x = 1,896.13 × 814.82
  4. Step 4: Simplify right side
    1,373.87x = 1,545,004.65
  5. Step 5: Solve for x
    x = 1,545,004.65/1,373.87
  6. Step 6: Final answer
    x = 1,124.56

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1.5x scale

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.