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Finding the Fourth Proportional to 1,128.84, 1,693.23 and 512.12

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Solution

The fourth proportional to 1,128.84, 1,693.23 and 512.12 is: 768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.84 : 1,693.23 = 512.12 : x
  2. Step 2: Convert to fraction form
    1,128.84/1,693.23 = 512.12/x
  3. Step 3: Cross multiply
    1,128.84x = 1,693.23 × 512.12
  4. Step 4: Simplify right side
    1,128.84x = 867,136.95
  5. Step 5: Solve for x
    x = 867,136.95/1,128.84
  6. Step 6: Final answer
    x = 768.17

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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.