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Finding the Fourth Proportional to 1,026.25, 1,416.22 and 584.28

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Solution

The fourth proportional to 1,026.25, 1,416.22 and 584.28 is: 806.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.25 : 1,416.22 = 584.28 : x
  2. Step 2: Convert to fraction form
    1,026.25/1,416.22 = 584.28/x
  3. Step 3: Cross multiply
    1,026.25x = 1,416.22 × 584.28
  4. Step 4: Simplify right side
    1,026.25x = 827,467.56
  5. Step 5: Solve for x
    x = 827,467.56/1,026.25
  6. Step 6: Final answer
    x = 806.30

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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.