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Finding the Fourth Proportional to 832.66, 1,149.08 and 459.65

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Solution

The fourth proportional to 832.66, 1,149.08 and 459.65 is: 634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.66 : 1,149.08 = 459.65 : x
  2. Step 2: Convert to fraction form
    832.66/1,149.08 = 459.65/x
  3. Step 3: Cross multiply
    832.66x = 1,149.08 × 459.65
  4. Step 4: Simplify right side
    832.66x = 528,175.20
  5. Step 5: Solve for x
    x = 528,175.20/832.66
  6. Step 6: Final answer
    x = 634.32

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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.