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Finding the Fourth Proportional to 1,433.83, 2,151.08 and 446.59

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Solution

The fourth proportional to 1,433.83, 2,151.08 and 446.59 is: 669.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.83 : 2,151.08 = 446.59 : x
  2. Step 2: Convert to fraction form
    1,433.83/2,151.08 = 446.59/x
  3. Step 3: Cross multiply
    1,433.83x = 2,151.08 × 446.59
  4. Step 4: Simplify right side
    1,433.83x = 960,650.82
  5. Step 5: Solve for x
    x = 960,650.82/1,433.83
  6. Step 6: Final answer
    x = 669.99

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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.