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Finding the Fourth Proportional to 820.37, 1,132.14 and 505.53

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Solution

The fourth proportional to 820.37, 1,132.14 and 505.53 is: 697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.37 : 1,132.14 = 505.53 : x
  2. Step 2: Convert to fraction form
    820.37/1,132.14 = 505.53/x
  3. Step 3: Cross multiply
    820.37x = 1,132.14 × 505.53
  4. Step 4: Simplify right side
    820.37x = 572,330.73
  5. Step 5: Solve for x
    x = 572,330.73/820.37
  6. Step 6: Final answer
    x = 697.65

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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.