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Finding the Fourth Proportional to 974.73, 1,460.81 and 583.47

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Solution

The fourth proportional to 974.73, 1,460.81 and 583.47 is: 874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.73 : 1,460.81 = 583.47 : x
  2. Step 2: Convert to fraction form
    974.73/1,460.81 = 583.47/x
  3. Step 3: Cross multiply
    974.73x = 1,460.81 × 583.47
  4. Step 4: Simplify right side
    974.73x = 852,335.89
  5. Step 5: Solve for x
    x = 852,335.89/974.73
  6. Step 6: Final answer
    x = 874.43

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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.