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Finding the Fourth Proportional to 989.48, 1,484.05 and 364.65

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Solution

The fourth proportional to 989.48, 1,484.05 and 364.65 is: 546.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.48 : 1,484.05 = 364.65 : x
  2. Step 2: Convert to fraction form
    989.48/1,484.05 = 364.65/x
  3. Step 3: Cross multiply
    989.48x = 1,484.05 × 364.65
  4. Step 4: Simplify right side
    989.48x = 541,158.83
  5. Step 5: Solve for x
    x = 541,158.83/989.48
  6. Step 6: Final answer
    x = 546.91

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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.