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Finding the Fourth Proportional to 1,294.97, 1,942.61 and 601.53

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Solution

The fourth proportional to 1,294.97, 1,942.61 and 601.53 is: 902.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.97 : 1,942.61 = 601.53 : x
  2. Step 2: Convert to fraction form
    1,294.97/1,942.61 = 601.53/x
  3. Step 3: Cross multiply
    1,294.97x = 1,942.61 × 601.53
  4. Step 4: Simplify right side
    1,294.97x = 1,168,535.19
  5. Step 5: Solve for x
    x = 1,168,535.19/1,294.97
  6. Step 6: Final answer
    x = 902.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.