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Finding the Fourth Proportional to 989.16, 1,484.22 and 412.20

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Solution

The fourth proportional to 989.16, 1,484.22 and 412.20 is: 618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.16 : 1,484.22 = 412.20 : x
  2. Step 2: Convert to fraction form
    989.16/1,484.22 = 412.20/x
  3. Step 3: Cross multiply
    989.16x = 1,484.22 × 412.20
  4. Step 4: Simplify right side
    989.16x = 611,795.48
  5. Step 5: Solve for x
    x = 611,795.48/989.16
  6. Step 6: Final answer
    x = 618.50

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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.