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Finding the Fourth Proportional to 1,084.31, 1,624.16 and 499.79

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Solution

The fourth proportional to 1,084.31, 1,624.16 and 499.79 is: 748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.31 : 1,624.16 = 499.79 : x
  2. Step 2: Convert to fraction form
    1,084.31/1,624.16 = 499.79/x
  3. Step 3: Cross multiply
    1,084.31x = 1,624.16 × 499.79
  4. Step 4: Simplify right side
    1,084.31x = 811,738.93
  5. Step 5: Solve for x
    x = 811,738.93/1,084.31
  6. Step 6: Final answer
    x = 748.62

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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.