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Finding the Fourth Proportional to 911.92, 1,258.32 and 562.72

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Solution

The fourth proportional to 911.92, 1,258.32 and 562.72 is: 776.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.92 : 1,258.32 = 562.72 : x
  2. Step 2: Convert to fraction form
    911.92/1,258.32 = 562.72/x
  3. Step 3: Cross multiply
    911.92x = 1,258.32 × 562.72
  4. Step 4: Simplify right side
    911.92x = 708,081.83
  5. Step 5: Solve for x
    x = 708,081.83/911.92
  6. Step 6: Final answer
    x = 776.47

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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.