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Finding the Fourth Proportional to 1,084.91, 1,628.17 and 508.19

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Solution

The fourth proportional to 1,084.91, 1,628.17 and 508.19 is: 762.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.91 : 1,628.17 = 508.19 : x
  2. Step 2: Convert to fraction form
    1,084.91/1,628.17 = 508.19/x
  3. Step 3: Cross multiply
    1,084.91x = 1,628.17 × 508.19
  4. Step 4: Simplify right side
    1,084.91x = 827,410.30
  5. Step 5: Solve for x
    x = 827,410.30/1,084.91
  6. Step 6: Final answer
    x = 762.66

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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.