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Finding the Fourth Proportional to 1,192.71, 1,645.97 and 654.38

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Solution

The fourth proportional to 1,192.71, 1,645.97 and 654.38 is: 903.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.71 : 1,645.97 = 654.38 : x
  2. Step 2: Convert to fraction form
    1,192.71/1,645.97 = 654.38/x
  3. Step 3: Cross multiply
    1,192.71x = 1,645.97 × 654.38
  4. Step 4: Simplify right side
    1,192.71x = 1,077,081.62
  5. Step 5: Solve for x
    x = 1,077,081.62/1,192.71
  6. Step 6: Final answer
    x = 903.05

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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.