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Finding the Fourth Proportional to 828.03, 1,142.44 and 592.05

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Solution

The fourth proportional to 828.03, 1,142.44 and 592.05 is: 816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.03 : 1,142.44 = 592.05 : x
  2. Step 2: Convert to fraction form
    828.03/1,142.44 = 592.05/x
  3. Step 3: Cross multiply
    828.03x = 1,142.44 × 592.05
  4. Step 4: Simplify right side
    828.03x = 676,381.60
  5. Step 5: Solve for x
    x = 676,381.60/828.03
  6. Step 6: Final answer
    x = 816.86

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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.