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Finding the Fourth Proportional to 1,374.23, 1,896.48 and 814.70

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Solution

The fourth proportional to 1,374.23, 1,896.48 and 814.70 is: 1,124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.23 : 1,896.48 = 814.70 : x
  2. Step 2: Convert to fraction form
    1,374.23/1,896.48 = 814.70/x
  3. Step 3: Cross multiply
    1,374.23x = 1,896.48 × 814.70
  4. Step 4: Simplify right side
    1,374.23x = 1,545,067.00
  5. Step 5: Solve for x
    x = 1,545,067.00/1,374.23
  6. Step 6: Final answer
    x = 1,124.31

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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.