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Finding the Fourth Proportional to 835.14, 1,152.42 and 462.10

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Solution

The fourth proportional to 835.14, 1,152.42 and 462.10 is: 637.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.14 : 1,152.42 = 462.10 : x
  2. Step 2: Convert to fraction form
    835.14/1,152.42 = 462.10/x
  3. Step 3: Cross multiply
    835.14x = 1,152.42 × 462.10
  4. Step 4: Simplify right side
    835.14x = 532,533.28
  5. Step 5: Solve for x
    x = 532,533.28/835.14
  6. Step 6: Final answer
    x = 637.66

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Why These Related Problems?

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