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Finding the Fourth Proportional to 1,296.68, 1,945.16 and 463.94

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Solution

The fourth proportional to 1,296.68, 1,945.16 and 463.94 is: 695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.68 : 1,945.16 = 463.94 : x
  2. Step 2: Convert to fraction form
    1,296.68/1,945.16 = 463.94/x
  3. Step 3: Cross multiply
    1,296.68x = 1,945.16 × 463.94
  4. Step 4: Simplify right side
    1,296.68x = 902,425.48
  5. Step 5: Solve for x
    x = 902,425.48/1,296.68
  6. Step 6: Final answer
    x = 695.95

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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.