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Finding the Fourth Proportional to 841.91, 1,162.28 and 580.28

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Solution

The fourth proportional to 841.91, 1,162.28 and 580.28 is: 801.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.91 : 1,162.28 = 580.28 : x
  2. Step 2: Convert to fraction form
    841.91/1,162.28 = 580.28/x
  3. Step 3: Cross multiply
    841.91x = 1,162.28 × 580.28
  4. Step 4: Simplify right side
    841.91x = 674,443.48
  5. Step 5: Solve for x
    x = 674,443.48/841.91
  6. Step 6: Final answer
    x = 801.09

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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.