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Finding the Fourth Proportional to 1,239.56, 1,712.25 and 992.63

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Solution

The fourth proportional to 1,239.56, 1,712.25 and 992.63 is: 1,371.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.56 : 1,712.25 = 992.63 : x
  2. Step 2: Convert to fraction form
    1,239.56/1,712.25 = 992.63/x
  3. Step 3: Cross multiply
    1,239.56x = 1,712.25 × 992.63
  4. Step 4: Simplify right side
    1,239.56x = 1,699,622.16
  5. Step 5: Solve for x
    x = 1,699,622.16/1,239.56
  6. Step 6: Final answer
    x = 1,371.16

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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.