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Finding the Fourth Proportional to 1,639.62, 2,459.05 and 469.61

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Solution

The fourth proportional to 1,639.62, 2,459.05 and 469.61 is: 704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.62 : 2,459.05 = 469.61 : x
  2. Step 2: Convert to fraction form
    1,639.62/2,459.05 = 469.61/x
  3. Step 3: Cross multiply
    1,639.62x = 2,459.05 × 469.61
  4. Step 4: Simplify right side
    1,639.62x = 1,154,794.47
  5. Step 5: Solve for x
    x = 1,154,794.47/1,639.62
  6. Step 6: Final answer
    x = 704.31

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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.