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Finding the Fourth Proportional to 1,026.44, 1,416.06 and 653.61

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Solution

The fourth proportional to 1,026.44, 1,416.06 and 653.61 is: 901.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.44 : 1,416.06 = 653.61 : x
  2. Step 2: Convert to fraction form
    1,026.44/1,416.06 = 653.61/x
  3. Step 3: Cross multiply
    1,026.44x = 1,416.06 × 653.61
  4. Step 4: Simplify right side
    1,026.44x = 925,550.98
  5. Step 5: Solve for x
    x = 925,550.98/1,026.44
  6. Step 6: Final answer
    x = 901.71

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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.