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Finding the Fourth Proportional to 1,083.27, 1,624.42 and 535.23

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Solution

The fourth proportional to 1,083.27, 1,624.42 and 535.23 is: 802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.27 : 1,624.42 = 535.23 : x
  2. Step 2: Convert to fraction form
    1,083.27/1,624.42 = 535.23/x
  3. Step 3: Cross multiply
    1,083.27x = 1,624.42 × 535.23
  4. Step 4: Simplify right side
    1,083.27x = 869,438.32
  5. Step 5: Solve for x
    x = 869,438.32/1,083.27
  6. Step 6: Final answer
    x = 802.61

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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.