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Finding the Fourth Proportional to 912.92, 1,260.24 and 598.20

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Solution

The fourth proportional to 912.92, 1,260.24 and 598.20 is: 825.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.92 : 1,260.24 = 598.20 : x
  2. Step 2: Convert to fraction form
    912.92/1,260.24 = 598.20/x
  3. Step 3: Cross multiply
    912.92x = 1,260.24 × 598.20
  4. Step 4: Simplify right side
    912.92x = 753,871.96
  5. Step 5: Solve for x
    x = 753,871.96/912.92
  6. Step 6: Final answer
    x = 825.79

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Half scale
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Double scale
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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.