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Finding the Fourth Proportional to 835.26, 1,152.62 and 457.13

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Solution

The fourth proportional to 835.26, 1,152.62 and 457.13 is: 630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.26 : 1,152.62 = 457.13 : x
  2. Step 2: Convert to fraction form
    835.26/1,152.62 = 457.13/x
  3. Step 3: Cross multiply
    835.26x = 1,152.62 × 457.13
  4. Step 4: Simplify right side
    835.26x = 526,892.56
  5. Step 5: Solve for x
    x = 526,892.56/835.26
  6. Step 6: Final answer
    x = 630.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.