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Finding the Fourth Proportional to 920.46, 1,382.36 and 574.47

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Solution

The fourth proportional to 920.46, 1,382.36 and 574.47 is: 862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.46 : 1,382.36 = 574.47 : x
  2. Step 2: Convert to fraction form
    920.46/1,382.36 = 574.47/x
  3. Step 3: Cross multiply
    920.46x = 1,382.36 × 574.47
  4. Step 4: Simplify right side
    920.46x = 794,124.35
  5. Step 5: Solve for x
    x = 794,124.35/920.46
  6. Step 6: Final answer
    x = 862.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.