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Finding the Fourth Proportional to 1,296.45, 1,944.68 and 322.55

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Solution

The fourth proportional to 1,296.45, 1,944.68 and 322.55 is: 483.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.45 : 1,944.68 = 322.55 : x
  2. Step 2: Convert to fraction form
    1,296.45/1,944.68 = 322.55/x
  3. Step 3: Cross multiply
    1,296.45x = 1,944.68 × 322.55
  4. Step 4: Simplify right side
    1,296.45x = 627,256.81
  5. Step 5: Solve for x
    x = 627,256.81/1,296.45
  6. Step 6: Final answer
    x = 483.83

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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.