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Finding the Fourth Proportional to 1,022.03, 1,410.43 and 579.95

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Solution

The fourth proportional to 1,022.03, 1,410.43 and 579.95 is: 800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.03 : 1,410.43 = 579.95 : x
  2. Step 2: Convert to fraction form
    1,022.03/1,410.43 = 579.95/x
  3. Step 3: Cross multiply
    1,022.03x = 1,410.43 × 579.95
  4. Step 4: Simplify right side
    1,022.03x = 817,978.88
  5. Step 5: Solve for x
    x = 817,978.88/1,022.03
  6. Step 6: Final answer
    x = 800.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.