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Finding the Fourth Proportional to 820.14, 1,131.55 and 505.52

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Solution

The fourth proportional to 820.14, 1,131.55 and 505.52 is: 697.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.14 : 1,131.55 = 505.52 : x
  2. Step 2: Convert to fraction form
    820.14/1,131.55 = 505.52/x
  3. Step 3: Cross multiply
    820.14x = 1,131.55 × 505.52
  4. Step 4: Simplify right side
    820.14x = 572,021.16
  5. Step 5: Solve for x
    x = 572,021.16/820.14
  6. Step 6: Final answer
    x = 697.47

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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.