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Finding the Fourth Proportional to 1,296.67, 1,944.98 and 322.77

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Solution

The fourth proportional to 1,296.67, 1,944.98 and 322.77 is: 484.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.67 : 1,944.98 = 322.77 : x
  2. Step 2: Convert to fraction form
    1,296.67/1,944.98 = 322.77/x
  3. Step 3: Cross multiply
    1,296.67x = 1,944.98 × 322.77
  4. Step 4: Simplify right side
    1,296.67x = 627,781.19
  5. Step 5: Solve for x
    x = 627,781.19/1,296.67
  6. Step 6: Final answer
    x = 484.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.