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Finding the Fourth Proportional to 1,106.96, 1,660.46 and 285.24

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Solution

The fourth proportional to 1,106.96, 1,660.46 and 285.24 is: 427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.96 : 1,660.46 = 285.24 : x
  2. Step 2: Convert to fraction form
    1,106.96/1,660.46 = 285.24/x
  3. Step 3: Cross multiply
    1,106.96x = 1,660.46 × 285.24
  4. Step 4: Simplify right side
    1,106.96x = 473,629.61
  5. Step 5: Solve for x
    x = 473,629.61/1,106.96
  6. Step 6: Final answer
    x = 427.87

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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.