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Finding the Fourth Proportional to 828.61, 1,146.02 and 814.77

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Solution

The fourth proportional to 828.61, 1,146.02 and 814.77 is: 1,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.61 : 1,146.02 = 814.77 : x
  2. Step 2: Convert to fraction form
    828.61/1,146.02 = 814.77/x
  3. Step 3: Cross multiply
    828.61x = 1,146.02 × 814.77
  4. Step 4: Simplify right side
    828.61x = 933,738.64
  5. Step 5: Solve for x
    x = 933,738.64/828.61
  6. Step 6: Final answer
    x = 1,126.88

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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.