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Finding the Fourth Proportional to 835.63, 1,153.16 and 462.64

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Solution

The fourth proportional to 835.63, 1,153.16 and 462.64 is: 638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.63 : 1,153.16 = 462.64 : x
  2. Step 2: Convert to fraction form
    835.63/1,153.16 = 462.64/x
  3. Step 3: Cross multiply
    835.63x = 1,153.16 × 462.64
  4. Step 4: Simplify right side
    835.63x = 533,497.94
  5. Step 5: Solve for x
    x = 533,497.94/835.63
  6. Step 6: Final answer
    x = 638.44

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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.