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Finding the Fourth Proportional to 931.46, 1,285.21 and 558.39

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Solution

The fourth proportional to 931.46, 1,285.21 and 558.39 is: 770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.46 : 1,285.21 = 558.39 : x
  2. Step 2: Convert to fraction form
    931.46/1,285.21 = 558.39/x
  3. Step 3: Cross multiply
    931.46x = 1,285.21 × 558.39
  4. Step 4: Simplify right side
    931.46x = 717,648.41
  5. Step 5: Solve for x
    x = 717,648.41/931.46
  6. Step 6: Final answer
    x = 770.46

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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.