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Finding the Fourth Proportional to 974.12, 1,459.56 and 698.82

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Solution

The fourth proportional to 974.12, 1,459.56 and 698.82 is: 1,047.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.12 : 1,459.56 = 698.82 : x
  2. Step 2: Convert to fraction form
    974.12/1,459.56 = 698.82/x
  3. Step 3: Cross multiply
    974.12x = 1,459.56 × 698.82
  4. Step 4: Simplify right side
    974.12x = 1,019,969.72
  5. Step 5: Solve for x
    x = 1,019,969.72/974.12
  6. Step 6: Final answer
    x = 1,047.07

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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.