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Finding the Fourth Proportional to 1,102.57, 1,653.86 and 523.69

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Solution

The fourth proportional to 1,102.57, 1,653.86 and 523.69 is: 785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.57 : 1,653.86 = 523.69 : x
  2. Step 2: Convert to fraction form
    1,102.57/1,653.86 = 523.69/x
  3. Step 3: Cross multiply
    1,102.57x = 1,653.86 × 523.69
  4. Step 4: Simplify right side
    1,102.57x = 866,107.32
  5. Step 5: Solve for x
    x = 866,107.32/1,102.57
  6. Step 6: Final answer
    x = 785.54

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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.