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Finding the Fourth Proportional to 911.56, 1,258.14 and 557.54

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Solution

The fourth proportional to 911.56, 1,258.14 and 557.54 is: 769.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.56 : 1,258.14 = 557.54 : x
  2. Step 2: Convert to fraction form
    911.56/1,258.14 = 557.54/x
  3. Step 3: Cross multiply
    911.56x = 1,258.14 × 557.54
  4. Step 4: Simplify right side
    911.56x = 701,463.38
  5. Step 5: Solve for x
    x = 701,463.38/911.56
  6. Step 6: Final answer
    x = 769.52

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1.5x scale

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.