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Finding the Fourth Proportional to 1,296.42, 1,944.71 and 322.53

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Solution

The fourth proportional to 1,296.42, 1,944.71 and 322.53 is: 483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.42 : 1,944.71 = 322.53 : x
  2. Step 2: Convert to fraction form
    1,296.42/1,944.71 = 322.53/x
  3. Step 3: Cross multiply
    1,296.42x = 1,944.71 × 322.53
  4. Step 4: Simplify right side
    1,296.42x = 627,225.70
  5. Step 5: Solve for x
    x = 627,225.70/1,296.42
  6. Step 6: Final answer
    x = 483.81

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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.