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Finding the Fourth Proportional to 911.74, 1,258.18 and 538.74

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Solution

The fourth proportional to 911.74, 1,258.18 and 538.74 is: 743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.74 : 1,258.18 = 538.74 : x
  2. Step 2: Convert to fraction form
    911.74/1,258.18 = 538.74/x
  3. Step 3: Cross multiply
    911.74x = 1,258.18 × 538.74
  4. Step 4: Simplify right side
    911.74x = 677,831.89
  5. Step 5: Solve for x
    x = 677,831.89/911.74
  6. Step 6: Final answer
    x = 743.45

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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.