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Finding the Fourth Proportional to 920.20, 1,269.55 and 521.82

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Solution

The fourth proportional to 920.20, 1,269.55 and 521.82 is: 719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.20 : 1,269.55 = 521.82 : x
  2. Step 2: Convert to fraction form
    920.20/1,269.55 = 521.82/x
  3. Step 3: Cross multiply
    920.20x = 1,269.55 × 521.82
  4. Step 4: Simplify right side
    920.20x = 662,476.58
  5. Step 5: Solve for x
    x = 662,476.58/920.20
  6. Step 6: Final answer
    x = 719.93

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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.