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Finding the Fourth Proportional to 1,597.42, 2,204.66 and 898.80

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Solution

The fourth proportional to 1,597.42, 2,204.66 and 898.80 is: 1,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.42 : 2,204.66 = 898.80 : x
  2. Step 2: Convert to fraction form
    1,597.42/2,204.66 = 898.80/x
  3. Step 3: Cross multiply
    1,597.42x = 2,204.66 × 898.80
  4. Step 4: Simplify right side
    1,597.42x = 1,981,548.41
  5. Step 5: Solve for x
    x = 1,981,548.41/1,597.42
  6. Step 6: Final answer
    x = 1,240.47

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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.