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Finding the Fourth Proportional to 1,129.41, 1,693.98 and 512.46

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Solution

The fourth proportional to 1,129.41, 1,693.98 and 512.46 is: 768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.41 : 1,693.98 = 512.46 : x
  2. Step 2: Convert to fraction form
    1,129.41/1,693.98 = 512.46/x
  3. Step 3: Cross multiply
    1,129.41x = 1,693.98 × 512.46
  4. Step 4: Simplify right side
    1,129.41x = 868,096.99
  5. Step 5: Solve for x
    x = 868,096.99/1,129.41
  6. Step 6: Final answer
    x = 768.63

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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.