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Finding the Fourth Proportional to 911.54, 1,258 and 562.26

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Solution

The fourth proportional to 911.54, 1,258 and 562.26 is: 775.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.54 : 1,258 = 562.26 : x
  2. Step 2: Convert to fraction form
    911.54/1,258 = 562.26/x
  3. Step 3: Cross multiply
    911.54x = 1,258 × 562.26
  4. Step 4: Simplify right side
    911.54x = 707,323.08
  5. Step 5: Solve for x
    x = 707,323.08/911.54
  6. Step 6: Final answer
    x = 775.96

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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.