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Finding the Fourth Proportional to 949.96, 1,426.83 and 585.46

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Solution

The fourth proportional to 949.96, 1,426.83 and 585.46 is: 879.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.96 : 1,426.83 = 585.46 : x
  2. Step 2: Convert to fraction form
    949.96/1,426.83 = 585.46/x
  3. Step 3: Cross multiply
    949.96x = 1,426.83 × 585.46
  4. Step 4: Simplify right side
    949.96x = 835,351.89
  5. Step 5: Solve for x
    x = 835,351.89/949.96
  6. Step 6: Final answer
    x = 879.35

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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.