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Finding the Fourth Proportional to 912.18, 1,258.50 and 558.27

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Solution

The fourth proportional to 912.18, 1,258.50 and 558.27 is: 770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.18 : 1,258.50 = 558.27 : x
  2. Step 2: Convert to fraction form
    912.18/1,258.50 = 558.27/x
  3. Step 3: Cross multiply
    912.18x = 1,258.50 × 558.27
  4. Step 4: Simplify right side
    912.18x = 702,584.89
  5. Step 5: Solve for x
    x = 702,584.89/912.18
  6. Step 6: Final answer
    x = 770.22

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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.