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Finding the Fourth Proportional to 1,302.12, 1,796.91 and 712.66

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Solution

The fourth proportional to 1,302.12, 1,796.91 and 712.66 is: 983.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.12 : 1,796.91 = 712.66 : x
  2. Step 2: Convert to fraction form
    1,302.12/1,796.91 = 712.66/x
  3. Step 3: Cross multiply
    1,302.12x = 1,796.91 × 712.66
  4. Step 4: Simplify right side
    1,302.12x = 1,280,585.88
  5. Step 5: Solve for x
    x = 1,280,585.88/1,302.12
  6. Step 6: Final answer
    x = 983.47

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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.