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Finding the Fourth Proportional to 1,597.39, 2,204.25 and 898.63

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Solution

The fourth proportional to 1,597.39, 2,204.25 and 898.63 is: 1,240.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.39 : 2,204.25 = 898.63 : x
  2. Step 2: Convert to fraction form
    1,597.39/2,204.25 = 898.63/x
  3. Step 3: Cross multiply
    1,597.39x = 2,204.25 × 898.63
  4. Step 4: Simplify right side
    1,597.39x = 1,980,805.18
  5. Step 5: Solve for x
    x = 1,980,805.18/1,597.39
  6. Step 6: Final answer
    x = 1,240.03

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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.