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Finding the Fourth Proportional to 989.26, 1,484.32 and 469.63

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Solution

The fourth proportional to 989.26, 1,484.32 and 469.63 is: 704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.26 : 1,484.32 = 469.63 : x
  2. Step 2: Convert to fraction form
    989.26/1,484.32 = 469.63/x
  3. Step 3: Cross multiply
    989.26x = 1,484.32 × 469.63
  4. Step 4: Simplify right side
    989.26x = 697,073.78
  5. Step 5: Solve for x
    x = 697,073.78/989.26
  6. Step 6: Final answer
    x = 704.64

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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.