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Finding the Fourth Proportional to 753.34, 1,129.11 and 342.07

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Solution

The fourth proportional to 753.34, 1,129.11 and 342.07 is: 512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.34 : 1,129.11 = 342.07 : x
  2. Step 2: Convert to fraction form
    753.34/1,129.11 = 342.07/x
  3. Step 3: Cross multiply
    753.34x = 1,129.11 × 342.07
  4. Step 4: Simplify right side
    753.34x = 386,234.66
  5. Step 5: Solve for x
    x = 386,234.66/753.34
  6. Step 6: Final answer
    x = 512.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.