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Finding the Fourth Proportional to 1,194.94, 1,792.35 and 711.06

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Solution

The fourth proportional to 1,194.94, 1,792.35 and 711.06 is: 1,066.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.94 : 1,792.35 = 711.06 : x
  2. Step 2: Convert to fraction form
    1,194.94/1,792.35 = 711.06/x
  3. Step 3: Cross multiply
    1,194.94x = 1,792.35 × 711.06
  4. Step 4: Simplify right side
    1,194.94x = 1,274,468.39
  5. Step 5: Solve for x
    x = 1,274,468.39/1,194.94
  6. Step 6: Final answer
    x = 1,066.56

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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.