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Finding the Fourth Proportional to 974.95, 1,460.80 and 685.78

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Solution

The fourth proportional to 974.95, 1,460.80 and 685.78 is: 1,027.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.95 : 1,460.80 = 685.78 : x
  2. Step 2: Convert to fraction form
    974.95/1,460.80 = 685.78/x
  3. Step 3: Cross multiply
    974.95x = 1,460.80 × 685.78
  4. Step 4: Simplify right side
    974.95x = 1,001,787.42
  5. Step 5: Solve for x
    x = 1,001,787.42/974.95
  6. Step 6: Final answer
    x = 1,027.53

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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.