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Finding the Fourth Proportional to 989.24, 1,483.95 and 258.82

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Solution

The fourth proportional to 989.24, 1,483.95 and 258.82 is: 388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.24 : 1,483.95 = 258.82 : x
  2. Step 2: Convert to fraction form
    989.24/1,483.95 = 258.82/x
  3. Step 3: Cross multiply
    989.24x = 1,483.95 × 258.82
  4. Step 4: Simplify right side
    989.24x = 384,075.94
  5. Step 5: Solve for x
    x = 384,075.94/989.24
  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.