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Finding the Fourth Proportional to 1,021.91, 1,410.32 and 579.83

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Solution

The fourth proportional to 1,021.91, 1,410.32 and 579.83 is: 800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.91 : 1,410.32 = 579.83 : x
  2. Step 2: Convert to fraction form
    1,021.91/1,410.32 = 579.83/x
  3. Step 3: Cross multiply
    1,021.91x = 1,410.32 × 579.83
  4. Step 4: Simplify right side
    1,021.91x = 817,742.95
  5. Step 5: Solve for x
    x = 817,742.95/1,021.91
  6. Step 6: Final answer
    x = 800.21

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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.