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Finding the Fourth Proportional to 1,454.52, 2,181.06 and 480.12

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Solution

The fourth proportional to 1,454.52, 2,181.06 and 480.12 is: 719.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.52 : 2,181.06 = 480.12 : x
  2. Step 2: Convert to fraction form
    1,454.52/2,181.06 = 480.12/x
  3. Step 3: Cross multiply
    1,454.52x = 2,181.06 × 480.12
  4. Step 4: Simplify right side
    1,454.52x = 1,047,170.53
  5. Step 5: Solve for x
    x = 1,047,170.53/1,454.52
  6. Step 6: Final answer
    x = 719.94

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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.