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Finding the Fourth Proportional to 911.93, 1,258.65 and 538.77

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Solution

The fourth proportional to 911.93, 1,258.65 and 538.77 is: 743.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.93 : 1,258.65 = 538.77 : x
  2. Step 2: Convert to fraction form
    911.93/1,258.65 = 538.77/x
  3. Step 3: Cross multiply
    911.93x = 1,258.65 × 538.77
  4. Step 4: Simplify right side
    911.93x = 678,122.86
  5. Step 5: Solve for x
    x = 678,122.86/911.93
  6. Step 6: Final answer
    x = 743.61

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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.