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Finding the Fourth Proportional to 1,194.68, 1,799.04 and 1,042.43

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Solution

The fourth proportional to 1,194.68, 1,799.04 and 1,042.43 is: 1,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.68 : 1,799.04 = 1,042.43 : x
  2. Step 2: Convert to fraction form
    1,194.68/1,799.04 = 1,042.43/x
  3. Step 3: Cross multiply
    1,194.68x = 1,799.04 × 1,042.43
  4. Step 4: Simplify right side
    1,194.68x = 1,875,364.27
  5. Step 5: Solve for x
    x = 1,875,364.27/1,194.68
  6. Step 6: Final answer
    x = 1,569.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.