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Finding the Fourth Proportional to 1,184.40, 1,634.55 and 712.41

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Solution

The fourth proportional to 1,184.40, 1,634.55 and 712.41 is: 983.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.40 : 1,634.55 = 712.41 : x
  2. Step 2: Convert to fraction form
    1,184.40/1,634.55 = 712.41/x
  3. Step 3: Cross multiply
    1,184.40x = 1,634.55 × 712.41
  4. Step 4: Simplify right side
    1,184.40x = 1,164,469.27
  5. Step 5: Solve for x
    x = 1,164,469.27/1,184.40
  6. Step 6: Final answer
    x = 983.17

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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.