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Finding the Fourth Proportional to 1,026.92, 1,415.46 and 695.23

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Solution

The fourth proportional to 1,026.92, 1,415.46 and 695.23 is: 958.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.92 : 1,415.46 = 695.23 : x
  2. Step 2: Convert to fraction form
    1,026.92/1,415.46 = 695.23/x
  3. Step 3: Cross multiply
    1,026.92x = 1,415.46 × 695.23
  4. Step 4: Simplify right side
    1,026.92x = 984,066.72
  5. Step 5: Solve for x
    x = 984,066.72/1,026.92
  6. Step 6: Final answer
    x = 958.27

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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.