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Finding the Fourth Proportional to 1,184.70, 1,634.81 and 712.67

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Solution

The fourth proportional to 1,184.70, 1,634.81 and 712.67 is: 983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.70 : 1,634.81 = 712.67 : x
  2. Step 2: Convert to fraction form
    1,184.70/1,634.81 = 712.67/x
  3. Step 3: Cross multiply
    1,184.70x = 1,634.81 × 712.67
  4. Step 4: Simplify right side
    1,184.70x = 1,165,080.04
  5. Step 5: Solve for x
    x = 1,165,080.04/1,184.70
  6. Step 6: Final answer
    x = 983.44

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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.