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Finding the Fourth Proportional to 1,242.22, 1,709.74 and 992.74

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Solution

The fourth proportional to 1,242.22, 1,709.74 and 992.74 is: 1,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.22 : 1,709.74 = 992.74 : x
  2. Step 2: Convert to fraction form
    1,242.22/1,709.74 = 992.74/x
  3. Step 3: Cross multiply
    1,242.22x = 1,709.74 × 992.74
  4. Step 4: Simplify right side
    1,242.22x = 1,697,327.29
  5. Step 5: Solve for x
    x = 1,697,327.29/1,242.22
  6. Step 6: Final answer
    x = 1,366.37

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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.