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Finding the Fourth Proportional to 1,594.99, 2,201.05 and 896.37

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Solution

The fourth proportional to 1,594.99, 2,201.05 and 896.37 is: 1,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.99 : 2,201.05 = 896.37 : x
  2. Step 2: Convert to fraction form
    1,594.99/2,201.05 = 896.37/x
  3. Step 3: Cross multiply
    1,594.99x = 2,201.05 × 896.37
  4. Step 4: Simplify right side
    1,594.99x = 1,972,955.19
  5. Step 5: Solve for x
    x = 1,972,955.19/1,594.99
  6. Step 6: Final answer
    x = 1,236.97

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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.