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Finding the Fourth Proportional to 1,296.18, 1,943.79 and 474.21

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Solution

The fourth proportional to 1,296.18, 1,943.79 and 474.21 is: 711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.18 : 1,943.79 = 474.21 : x
  2. Step 2: Convert to fraction form
    1,296.18/1,943.79 = 474.21/x
  3. Step 3: Cross multiply
    1,296.18x = 1,943.79 × 474.21
  4. Step 4: Simplify right side
    1,296.18x = 921,764.66
  5. Step 5: Solve for x
    x = 921,764.66/1,296.18
  6. Step 6: Final answer
    x = 711.14

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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.