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Finding the Fourth Proportional to 1,285.64, 1,928.06 and 361.14

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Solution

The fourth proportional to 1,285.64, 1,928.06 and 361.14 is: 541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.64 : 1,928.06 = 361.14 : x
  2. Step 2: Convert to fraction form
    1,285.64/1,928.06 = 361.14/x
  3. Step 3: Cross multiply
    1,285.64x = 1,928.06 × 361.14
  4. Step 4: Simplify right side
    1,285.64x = 696,299.59
  5. Step 5: Solve for x
    x = 696,299.59/1,285.64
  6. Step 6: Final answer
    x = 541.60

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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.