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Finding the Fourth Proportional to 753.34, 1,129.98 and 337.25

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Solution

The fourth proportional to 753.34, 1,129.98 and 337.25 is: 505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.34 : 1,129.98 = 337.25 : x
  2. Step 2: Convert to fraction form
    753.34/1,129.98 = 337.25/x
  3. Step 3: Cross multiply
    753.34x = 1,129.98 × 337.25
  4. Step 4: Simplify right side
    753.34x = 381,085.76
  5. Step 5: Solve for x
    x = 381,085.76/753.34
  6. Step 6: Final answer
    x = 505.86

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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.