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Finding the Fourth Proportional to 989.22, 1,483.71 and 258.86

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Solution

The fourth proportional to 989.22, 1,483.71 and 258.86 is: 388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.22 : 1,483.71 = 258.86 : x
  2. Step 2: Convert to fraction form
    989.22/1,483.71 = 258.86/x
  3. Step 3: Cross multiply
    989.22x = 1,483.71 × 258.86
  4. Step 4: Simplify right side
    989.22x = 384,065.75
  5. Step 5: Solve for x
    x = 384,065.75/989.22
  6. Step 6: Final answer
    x = 388.25

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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.