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Finding the Fourth Proportional to 1,107.07, 1,660.64 and 285.34

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Solution

The fourth proportional to 1,107.07, 1,660.64 and 285.34 is: 428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.07 : 1,660.64 = 285.34 : x
  2. Step 2: Convert to fraction form
    1,107.07/1,660.64 = 285.34/x
  3. Step 3: Cross multiply
    1,107.07x = 1,660.64 × 285.34
  4. Step 4: Simplify right side
    1,107.07x = 473,844.55
  5. Step 5: Solve for x
    x = 473,844.55/1,107.07
  6. Step 6: Final answer
    x = 428.02

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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.