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Finding the Fourth Proportional to 954.14, 1,419.78 and 950.90

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Solution

The fourth proportional to 954.14, 1,419.78 and 950.90 is: 1,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.14 : 1,419.78 = 950.90 : x
  2. Step 2: Convert to fraction form
    954.14/1,419.78 = 950.90/x
  3. Step 3: Cross multiply
    954.14x = 1,419.78 × 950.90
  4. Step 4: Simplify right side
    954.14x = 1,350,068.80
  5. Step 5: Solve for x
    x = 1,350,068.80/954.14
  6. Step 6: Final answer
    x = 1,414.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.