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Finding the Fourth Proportional to 1,296.01, 1,943.70 and 371.35

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Solution

The fourth proportional to 1,296.01, 1,943.70 and 371.35 is: 556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.01 : 1,943.70 = 371.35 : x
  2. Step 2: Convert to fraction form
    1,296.01/1,943.70 = 371.35/x
  3. Step 3: Cross multiply
    1,296.01x = 1,943.70 × 371.35
  4. Step 4: Simplify right side
    1,296.01x = 721,793.00
  5. Step 5: Solve for x
    x = 721,793.00/1,296.01
  6. Step 6: Final answer
    x = 556.93

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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.