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Finding the Fourth Proportional to 974.44, 1,460.04 and 811.90

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Solution

The fourth proportional to 974.44, 1,460.04 and 811.90 is: 1,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.44 : 1,460.04 = 811.90 : x
  2. Step 2: Convert to fraction form
    974.44/1,460.04 = 811.90/x
  3. Step 3: Cross multiply
    974.44x = 1,460.04 × 811.90
  4. Step 4: Simplify right side
    974.44x = 1,185,406.48
  5. Step 5: Solve for x
    x = 1,185,406.48/974.44
  6. Step 6: Final answer
    x = 1,216.50

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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.