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Finding the Fourth Proportional to 989.67, 1,484.01 and 442.02

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Solution

The fourth proportional to 989.67, 1,484.01 and 442.02 is: 662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.67 : 1,484.01 = 442.02 : x
  2. Step 2: Convert to fraction form
    989.67/1,484.01 = 442.02/x
  3. Step 3: Cross multiply
    989.67x = 1,484.01 × 442.02
  4. Step 4: Simplify right side
    989.67x = 655,962.10
  5. Step 5: Solve for x
    x = 655,962.10/989.67
  6. Step 6: Final answer
    x = 662.81

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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.