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Finding the Fourth Proportional to 1,296.52, 1,944.14 and 565.78

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Solution

The fourth proportional to 1,296.52, 1,944.14 and 565.78 is: 848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.52 : 1,944.14 = 565.78 : x
  2. Step 2: Convert to fraction form
    1,296.52/1,944.14 = 565.78/x
  3. Step 3: Cross multiply
    1,296.52x = 1,944.14 × 565.78
  4. Step 4: Simplify right side
    1,296.52x = 1,099,955.53
  5. Step 5: Solve for x
    x = 1,099,955.53/1,296.52
  6. Step 6: Final answer
    x = 848.39

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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.