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Finding the Fourth Proportional to 1,594.24, 2,391.63 and 814.12

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Solution

The fourth proportional to 1,594.24, 2,391.63 and 814.12 is: 1,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.24 : 2,391.63 = 814.12 : x
  2. Step 2: Convert to fraction form
    1,594.24/2,391.63 = 814.12/x
  3. Step 3: Cross multiply
    1,594.24x = 2,391.63 × 814.12
  4. Step 4: Simplify right side
    1,594.24x = 1,947,073.82
  5. Step 5: Solve for x
    x = 1,947,073.82/1,594.24
  6. Step 6: Final answer
    x = 1,221.32

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1.5x scale

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.