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Finding the Fourth Proportional to 954.10, 1,431.15 and 814.90

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Solution

The fourth proportional to 954.10, 1,431.15 and 814.90 is: 1,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.10 : 1,431.15 = 814.90 : x
  2. Step 2: Convert to fraction form
    954.10/1,431.15 = 814.90/x
  3. Step 3: Cross multiply
    954.10x = 1,431.15 × 814.90
  4. Step 4: Simplify right side
    954.10x = 1,166,244.14
  5. Step 5: Solve for x
    x = 1,166,244.14/954.10
  6. Step 6: Final answer
    x = 1,222.35

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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.