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Finding the Fourth Proportional to 947.10, 1,419.21 and 459.90

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Solution

The fourth proportional to 947.10, 1,419.21 and 459.90 is: 689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.10 : 1,419.21 = 459.90 : x
  2. Step 2: Convert to fraction form
    947.10/1,419.21 = 459.90/x
  3. Step 3: Cross multiply
    947.10x = 1,419.21 × 459.90
  4. Step 4: Simplify right side
    947.10x = 652,694.68
  5. Step 5: Solve for x
    x = 652,694.68/947.10
  6. Step 6: Final answer
    x = 689.15

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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.