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Finding the Fourth Proportional to 912.25, 1,258.91 and 498.25

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Solution

The fourth proportional to 912.25, 1,258.91 and 498.25 is: 687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.25 : 1,258.91 = 498.25 : x
  2. Step 2: Convert to fraction form
    912.25/1,258.91 = 498.25/x
  3. Step 3: Cross multiply
    912.25x = 1,258.91 × 498.25
  4. Step 4: Simplify right side
    912.25x = 627,251.91
  5. Step 5: Solve for x
    x = 627,251.91/912.25
  6. Step 6: Final answer
    x = 687.59

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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.