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Finding the Fourth Proportional to 1,296.62, 1,943.93 and 430.46

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Solution

The fourth proportional to 1,296.62, 1,943.93 and 430.46 is: 645.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.62 : 1,943.93 = 430.46 : x
  2. Step 2: Convert to fraction form
    1,296.62/1,943.93 = 430.46/x
  3. Step 3: Cross multiply
    1,296.62x = 1,943.93 × 430.46
  4. Step 4: Simplify right side
    1,296.62x = 836,784.11
  5. Step 5: Solve for x
    x = 836,784.11/1,296.62
  6. Step 6: Final answer
    x = 645.36

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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.