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Finding the Fourth Proportional to 828.08, 1,140.72 and 594.80

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Solution

The fourth proportional to 828.08, 1,140.72 and 594.80 is: 819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.08 : 1,140.72 = 594.80 : x
  2. Step 2: Convert to fraction form
    828.08/1,140.72 = 594.80/x
  3. Step 3: Cross multiply
    828.08x = 1,140.72 × 594.80
  4. Step 4: Simplify right side
    828.08x = 678,500.26
  5. Step 5: Solve for x
    x = 678,500.26/828.08
  6. Step 6: Final answer
    x = 819.37

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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.