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Finding the Fourth Proportional to 841.64, 1,262.60 and 512.82

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Solution

The fourth proportional to 841.64, 1,262.60 and 512.82 is: 769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.64 : 1,262.60 = 512.82 : x
  2. Step 2: Convert to fraction form
    841.64/1,262.60 = 512.82/x
  3. Step 3: Cross multiply
    841.64x = 1,262.60 × 512.82
  4. Step 4: Simplify right side
    841.64x = 647,486.53
  5. Step 5: Solve for x
    x = 647,486.53/841.64
  6. Step 6: Final answer
    x = 769.32

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Why These Related Problems?

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