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Finding the Fourth Proportional to 835.55, 1,252.57 and 424.47

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Solution

The fourth proportional to 835.55, 1,252.57 and 424.47 is: 636.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.55 : 1,252.57 = 424.47 : x
  2. Step 2: Convert to fraction form
    835.55/1,252.57 = 424.47/x
  3. Step 3: Cross multiply
    835.55x = 1,252.57 × 424.47
  4. Step 4: Simplify right side
    835.55x = 531,678.39
  5. Step 5: Solve for x
    x = 531,678.39/835.55
  6. Step 6: Final answer
    x = 636.32

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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.