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Finding the Fourth Proportional to 912.48, 1,258.56 and 617.76

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Solution

The fourth proportional to 912.48, 1,258.56 and 617.76 is: 852.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.48 : 1,258.56 = 617.76 : x
  2. Step 2: Convert to fraction form
    912.48/1,258.56 = 617.76/x
  3. Step 3: Cross multiply
    912.48x = 1,258.56 × 617.76
  4. Step 4: Simplify right side
    912.48x = 777,488.03
  5. Step 5: Solve for x
    x = 777,488.03/912.48
  6. Step 6: Final answer
    x = 852.06

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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.