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Finding the Fourth Proportional to 1,635.19, 2,452.78 and 661.97

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Solution

The fourth proportional to 1,635.19, 2,452.78 and 661.97 is: 992.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.19 : 2,452.78 = 661.97 : x
  2. Step 2: Convert to fraction form
    1,635.19/2,452.78 = 661.97/x
  3. Step 3: Cross multiply
    1,635.19x = 2,452.78 × 661.97
  4. Step 4: Simplify right side
    1,635.19x = 1,623,673.74
  5. Step 5: Solve for x
    x = 1,623,673.74/1,635.19
  6. Step 6: Final answer
    x = 992.96

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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.