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Finding the Fourth Proportional to 828.64, 1,143.48 and 566.72

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Solution

The fourth proportional to 828.64, 1,143.48 and 566.72 is: 782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.64 : 1,143.48 = 566.72 : x
  2. Step 2: Convert to fraction form
    828.64/1,143.48 = 566.72/x
  3. Step 3: Cross multiply
    828.64x = 1,143.48 × 566.72
  4. Step 4: Simplify right side
    828.64x = 648,032.99
  5. Step 5: Solve for x
    x = 648,032.99/828.64
  6. Step 6: Final answer
    x = 782.04

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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.