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Finding the Fourth Proportional to 1,084.92, 1,628 and 469.24

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Solution

The fourth proportional to 1,084.92, 1,628 and 469.24 is: 704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.92 : 1,628 = 469.24 : x
  2. Step 2: Convert to fraction form
    1,084.92/1,628 = 469.24/x
  3. Step 3: Cross multiply
    1,084.92x = 1,628 × 469.24
  4. Step 4: Simplify right side
    1,084.92x = 763,922.72
  5. Step 5: Solve for x
    x = 763,922.72/1,084.92
  6. Step 6: Final answer
    x = 704.13

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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.