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Finding the Fourth Proportional to 753.70, 1,130.82 and 342.54

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Solution

The fourth proportional to 753.70, 1,130.82 and 342.54 is: 513.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.70 : 1,130.82 = 342.54 : x
  2. Step 2: Convert to fraction form
    753.70/1,130.82 = 342.54/x
  3. Step 3: Cross multiply
    753.70x = 1,130.82 × 342.54
  4. Step 4: Simplify right side
    753.70x = 387,351.08
  5. Step 5: Solve for x
    x = 387,351.08/753.70
  6. Step 6: Final answer
    x = 513.93

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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.