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Finding the Fourth Proportional to 1,022.36, 1,410.84 and 580.28

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Solution

The fourth proportional to 1,022.36, 1,410.84 and 580.28 is: 800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.36 : 1,410.84 = 580.28 : x
  2. Step 2: Convert to fraction form
    1,022.36/1,410.84 = 580.28/x
  3. Step 3: Cross multiply
    1,022.36x = 1,410.84 × 580.28
  4. Step 4: Simplify right side
    1,022.36x = 818,682.24
  5. Step 5: Solve for x
    x = 818,682.24/1,022.36
  6. Step 6: Final answer
    x = 800.78

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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.