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Finding the Fourth Proportional to 828.30, 1,142.64 and 496.65

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Solution

The fourth proportional to 828.30, 1,142.64 and 496.65 is: 685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.30 : 1,142.64 = 496.65 : x
  2. Step 2: Convert to fraction form
    828.30/1,142.64 = 496.65/x
  3. Step 3: Cross multiply
    828.30x = 1,142.64 × 496.65
  4. Step 4: Simplify right side
    828.30x = 567,492.16
  5. Step 5: Solve for x
    x = 567,492.16/828.30
  6. Step 6: Final answer
    x = 685.13

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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.