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Finding the Fourth Proportional to 836.53, 1,254.59 and 349.62

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Solution

The fourth proportional to 836.53, 1,254.59 and 349.62 is: 524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.53 : 1,254.59 = 349.62 : x
  2. Step 2: Convert to fraction form
    836.53/1,254.59 = 349.62/x
  3. Step 3: Cross multiply
    836.53x = 1,254.59 × 349.62
  4. Step 4: Simplify right side
    836.53x = 438,624.61
  5. Step 5: Solve for x
    x = 438,624.61/836.53
  6. Step 6: Final answer
    x = 524.34

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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.