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Finding the Fourth Proportional to 1,295.03, 1,942.67 and 473.11

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Solution

The fourth proportional to 1,295.03, 1,942.67 and 473.11 is: 709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.03 : 1,942.67 = 473.11 : x
  2. Step 2: Convert to fraction form
    1,295.03/1,942.67 = 473.11/x
  3. Step 3: Cross multiply
    1,295.03x = 1,942.67 × 473.11
  4. Step 4: Simplify right side
    1,295.03x = 919,092.93
  5. Step 5: Solve for x
    x = 919,092.93/1,295.03
  6. Step 6: Final answer
    x = 709.71

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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.