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Finding the Fourth Proportional to 580.54, 870.81 and 546.73

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Solution

The fourth proportional to 580.54, 870.81 and 546.73 is: 820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.54 : 870.81 = 546.73 : x
  2. Step 2: Convert to fraction form
    580.54/870.81 = 546.73/x
  3. Step 3: Cross multiply
    580.54x = 870.81 × 546.73
  4. Step 4: Simplify right side
    580.54x = 476,097.95
  5. Step 5: Solve for x
    x = 476,097.95/580.54
  6. Step 6: Final answer
    x = 820.10

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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.