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Finding the Fourth Proportional to 751.46, 1,127.45 and 340.78

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Solution

The fourth proportional to 751.46, 1,127.45 and 340.78 is: 511.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.46 : 1,127.45 = 340.78 : x
  2. Step 2: Convert to fraction form
    751.46/1,127.45 = 340.78/x
  3. Step 3: Cross multiply
    751.46x = 1,127.45 × 340.78
  4. Step 4: Simplify right side
    751.46x = 384,212.41
  5. Step 5: Solve for x
    x = 384,212.41/751.46
  6. Step 6: Final answer
    x = 511.29

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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.