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Finding the Fourth Proportional to 1,433.05, 2,149.53 and 459.14

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Solution

The fourth proportional to 1,433.05, 2,149.53 and 459.14 is: 688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.05 : 2,149.53 = 459.14 : x
  2. Step 2: Convert to fraction form
    1,433.05/2,149.53 = 459.14/x
  3. Step 3: Cross multiply
    1,433.05x = 2,149.53 × 459.14
  4. Step 4: Simplify right side
    1,433.05x = 986,924.46
  5. Step 5: Solve for x
    x = 986,924.46/1,433.05
  6. Step 6: Final answer
    x = 688.69

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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.