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Finding the Fourth Proportional to 841.24, 1,262.28 and 512.24

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Solution

The fourth proportional to 841.24, 1,262.28 and 512.24 is: 768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.24 : 1,262.28 = 512.24 : x
  2. Step 2: Convert to fraction form
    841.24/1,262.28 = 512.24/x
  3. Step 3: Cross multiply
    841.24x = 1,262.28 × 512.24
  4. Step 4: Simplify right side
    841.24x = 646,590.31
  5. Step 5: Solve for x
    x = 646,590.31/841.24
  6. Step 6: Final answer
    x = 768.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.