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Finding the Fourth Proportional to 1,597.32, 2,204.49 and 898.68

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Solution

The fourth proportional to 1,597.32, 2,204.49 and 898.68 is: 1,240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.32 : 2,204.49 = 898.68 : x
  2. Step 2: Convert to fraction form
    1,597.32/2,204.49 = 898.68/x
  3. Step 3: Cross multiply
    1,597.32x = 2,204.49 × 898.68
  4. Step 4: Simplify right side
    1,597.32x = 1,981,131.07
  5. Step 5: Solve for x
    x = 1,981,131.07/1,597.32
  6. Step 6: Final answer
    x = 1,240.28

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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.