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Finding the Fourth Proportional to 949.06, 1,422.73 and 558.10

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Solution

The fourth proportional to 949.06, 1,422.73 and 558.10 is: 836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.06 : 1,422.73 = 558.10 : x
  2. Step 2: Convert to fraction form
    949.06/1,422.73 = 558.10/x
  3. Step 3: Cross multiply
    949.06x = 1,422.73 × 558.10
  4. Step 4: Simplify right side
    949.06x = 794,025.61
  5. Step 5: Solve for x
    x = 794,025.61/949.06
  6. Step 6: Final answer
    x = 836.64

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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.