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Finding the Fourth Proportional to 835.17, 1,152.61 and 462.24

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Solution

The fourth proportional to 835.17, 1,152.61 and 462.24 is: 637.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.17 : 1,152.61 = 462.24 : x
  2. Step 2: Convert to fraction form
    835.17/1,152.61 = 462.24/x
  3. Step 3: Cross multiply
    835.17x = 1,152.61 × 462.24
  4. Step 4: Simplify right side
    835.17x = 532,776.68
  5. Step 5: Solve for x
    x = 532,776.68/835.17
  6. Step 6: Final answer
    x = 637.93

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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.