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Finding the Fourth Proportional to 1,022.38, 1,410.86 and 580.32

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Solution

The fourth proportional to 1,022.38, 1,410.86 and 580.32 is: 800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.38 : 1,410.86 = 580.32 : x
  2. Step 2: Convert to fraction form
    1,022.38/1,410.86 = 580.32/x
  3. Step 3: Cross multiply
    1,022.38x = 1,410.86 × 580.32
  4. Step 4: Simplify right side
    1,022.38x = 818,750.28
  5. Step 5: Solve for x
    x = 818,750.28/1,022.38
  6. Step 6: Final answer
    x = 800.83

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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.