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Finding the Fourth Proportional to 1,241.18, 1,711.69 and 992.51

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Solution

The fourth proportional to 1,241.18, 1,711.69 and 992.51 is: 1,368.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.18 : 1,711.69 = 992.51 : x
  2. Step 2: Convert to fraction form
    1,241.18/1,711.69 = 992.51/x
  3. Step 3: Cross multiply
    1,241.18x = 1,711.69 × 992.51
  4. Step 4: Simplify right side
    1,241.18x = 1,698,858.40
  5. Step 5: Solve for x
    x = 1,698,858.40/1,241.18
  6. Step 6: Final answer
    x = 1,368.75

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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.