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Finding the Fourth Proportional to 828.35, 1,239.86 and 437.80

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Solution

The fourth proportional to 828.35, 1,239.86 and 437.80 is: 655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.35 : 1,239.86 = 437.80 : x
  2. Step 2: Convert to fraction form
    828.35/1,239.86 = 437.80/x
  3. Step 3: Cross multiply
    828.35x = 1,239.86 × 437.80
  4. Step 4: Simplify right side
    828.35x = 542,810.71
  5. Step 5: Solve for x
    x = 542,810.71/828.35
  6. Step 6: Final answer
    x = 655.29

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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.