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Finding the Fourth Proportional to 1,021.95, 1,410.32 and 579.86

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Solution

The fourth proportional to 1,021.95, 1,410.32 and 579.86 is: 800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.95 : 1,410.32 = 579.86 : x
  2. Step 2: Convert to fraction form
    1,021.95/1,410.32 = 579.86/x
  3. Step 3: Cross multiply
    1,021.95x = 1,410.32 × 579.86
  4. Step 4: Simplify right side
    1,021.95x = 817,778.20
  5. Step 5: Solve for x
    x = 817,778.20/1,021.95
  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.