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Finding the Fourth Proportional to 912.28, 1,258.02 and 663.16

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Solution

The fourth proportional to 912.28, 1,258.02 and 663.16 is: 914.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.28 : 1,258.02 = 663.16 : x
  2. Step 2: Convert to fraction form
    912.28/1,258.02 = 663.16/x
  3. Step 3: Cross multiply
    912.28x = 1,258.02 × 663.16
  4. Step 4: Simplify right side
    912.28x = 834,268.54
  5. Step 5: Solve for x
    x = 834,268.54/912.28
  6. Step 6: Final answer
    x = 914.49

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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.