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Finding the Fourth Proportional to 828.63, 1,142.37 and 566.19

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Solution

The fourth proportional to 828.63, 1,142.37 and 566.19 is: 780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.63 : 1,142.37 = 566.19 : x
  2. Step 2: Convert to fraction form
    828.63/1,142.37 = 566.19/x
  3. Step 3: Cross multiply
    828.63x = 1,142.37 × 566.19
  4. Step 4: Simplify right side
    828.63x = 646,798.47
  5. Step 5: Solve for x
    x = 646,798.47/828.63
  6. Step 6: Final answer
    x = 780.56

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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.