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Finding the Fourth Proportional to 1,768.43, 2,653.33 and 535.85

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Solution

The fourth proportional to 1,768.43, 2,653.33 and 535.85 is: 803.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.43 : 2,653.33 = 535.85 : x
  2. Step 2: Convert to fraction form
    1,768.43/2,653.33 = 535.85/x
  3. Step 3: Cross multiply
    1,768.43x = 2,653.33 × 535.85
  4. Step 4: Simplify right side
    1,768.43x = 1,421,781.22
  5. Step 5: Solve for x
    x = 1,421,781.22/1,768.43
  6. Step 6: Final answer
    x = 803.98

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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.