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Finding the Fourth Proportional to 947.40, 1,419.66 and 460.32

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Solution

The fourth proportional to 947.40, 1,419.66 and 460.32 is: 689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.40 : 1,419.66 = 460.32 : x
  2. Step 2: Convert to fraction form
    947.40/1,419.66 = 460.32/x
  3. Step 3: Cross multiply
    947.40x = 1,419.66 × 460.32
  4. Step 4: Simplify right side
    947.40x = 653,497.89
  5. Step 5: Solve for x
    x = 653,497.89/947.40
  6. Step 6: Final answer
    x = 689.78

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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.