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Finding the Fourth Proportional to 1,241.55, 1,711.55 and 946.31

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Solution

The fourth proportional to 1,241.55, 1,711.55 and 946.31 is: 1,304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.55 : 1,711.55 = 946.31 : x
  2. Step 2: Convert to fraction form
    1,241.55/1,711.55 = 946.31/x
  3. Step 3: Cross multiply
    1,241.55x = 1,711.55 × 946.31
  4. Step 4: Simplify right side
    1,241.55x = 1,619,643.59
  5. Step 5: Solve for x
    x = 1,619,643.59/1,241.55
  6. Step 6: Final answer
    x = 1,304.53

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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.