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Finding the Fourth Proportional to 1,083.62, 1,624.06 and 535.66

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Solution

The fourth proportional to 1,083.62, 1,624.06 and 535.66 is: 802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.62 : 1,624.06 = 535.66 : x
  2. Step 2: Convert to fraction form
    1,083.62/1,624.06 = 535.66/x
  3. Step 3: Cross multiply
    1,083.62x = 1,624.06 × 535.66
  4. Step 4: Simplify right side
    1,083.62x = 869,935.86
  5. Step 5: Solve for x
    x = 869,935.86/1,083.62
  6. Step 6: Final answer
    x = 802.81

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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.