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Finding the Fourth Proportional to 820.69, 1,132.17 and 488.93

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Solution

The fourth proportional to 820.69, 1,132.17 and 488.93 is: 674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.69 : 1,132.17 = 488.93 : x
  2. Step 2: Convert to fraction form
    820.69/1,132.17 = 488.93/x
  3. Step 3: Cross multiply
    820.69x = 1,132.17 × 488.93
  4. Step 4: Simplify right side
    820.69x = 553,551.88
  5. Step 5: Solve for x
    x = 553,551.88/820.69
  6. Step 6: Final answer
    x = 674.50

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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.