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Finding the Fourth Proportional to 696.46, 1,043.70 and 512.41

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Solution

The fourth proportional to 696.46, 1,043.70 and 512.41 is: 767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.46 : 1,043.70 = 512.41 : x
  2. Step 2: Convert to fraction form
    696.46/1,043.70 = 512.41/x
  3. Step 3: Cross multiply
    696.46x = 1,043.70 × 512.41
  4. Step 4: Simplify right side
    696.46x = 534,802.32
  5. Step 5: Solve for x
    x = 534,802.32/696.46
  6. Step 6: Final answer
    x = 767.89

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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.