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Finding the Fourth Proportional to 820.53, 1,132.34 and 447.51

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Solution

The fourth proportional to 820.53, 1,132.34 and 447.51 is: 617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.53 : 1,132.34 = 447.51 : x
  2. Step 2: Convert to fraction form
    820.53/1,132.34 = 447.51/x
  3. Step 3: Cross multiply
    820.53x = 1,132.34 × 447.51
  4. Step 4: Simplify right side
    820.53x = 506,733.47
  5. Step 5: Solve for x
    x = 506,733.47/820.53
  6. Step 6: Final answer
    x = 617.57

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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.