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Finding the Fourth Proportional to 1,296.84, 1,944.78 and 517.02

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Solution

The fourth proportional to 1,296.84, 1,944.78 and 517.02 is: 775.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.84 : 1,944.78 = 517.02 : x
  2. Step 2: Convert to fraction form
    1,296.84/1,944.78 = 517.02/x
  3. Step 3: Cross multiply
    1,296.84x = 1,944.78 × 517.02
  4. Step 4: Simplify right side
    1,296.84x = 1,005,490.16
  5. Step 5: Solve for x
    x = 1,005,490.16/1,296.84
  6. Step 6: Final answer
    x = 775.34

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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.