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Finding the Fourth Proportional to 954.79, 1,431.34 and 563.83

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Solution

The fourth proportional to 954.79, 1,431.34 and 563.83 is: 845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.79 : 1,431.34 = 563.83 : x
  2. Step 2: Convert to fraction form
    954.79/1,431.34 = 563.83/x
  3. Step 3: Cross multiply
    954.79x = 1,431.34 × 563.83
  4. Step 4: Simplify right side
    954.79x = 807,027.44
  5. Step 5: Solve for x
    x = 807,027.44/954.79
  6. Step 6: Final answer
    x = 845.24

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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.