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Finding the Fourth Proportional to 931.39, 1,285.26 and 558.55

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Solution

The fourth proportional to 931.39, 1,285.26 and 558.55 is: 770.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.39 : 1,285.26 = 558.55 : x
  2. Step 2: Convert to fraction form
    931.39/1,285.26 = 558.55/x
  3. Step 3: Cross multiply
    931.39x = 1,285.26 × 558.55
  4. Step 4: Simplify right side
    931.39x = 717,881.97
  5. Step 5: Solve for x
    x = 717,881.97/931.39
  6. Step 6: Final answer
    x = 770.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.