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Finding the Fourth Proportional to 1,295.17, 1,942.10 and 473.23

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Solution

The fourth proportional to 1,295.17, 1,942.10 and 473.23 is: 709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.17 : 1,942.10 = 473.23 : x
  2. Step 2: Convert to fraction form
    1,295.17/1,942.10 = 473.23/x
  3. Step 3: Cross multiply
    1,295.17x = 1,942.10 × 473.23
  4. Step 4: Simplify right side
    1,295.17x = 919,057.62
  5. Step 5: Solve for x
    x = 919,057.62/1,295.17
  6. Step 6: Final answer
    x = 709.60

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