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Finding the Fourth Proportional to 1,219.80, 1,830.65 and 489.99

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Solution

The fourth proportional to 1,219.80, 1,830.65 and 489.99 is: 735.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.80 : 1,830.65 = 489.99 : x
  2. Step 2: Convert to fraction form
    1,219.80/1,830.65 = 489.99/x
  3. Step 3: Cross multiply
    1,219.80x = 1,830.65 × 489.99
  4. Step 4: Simplify right side
    1,219.80x = 896,997.74
  5. Step 5: Solve for x
    x = 896,997.74/1,219.80
  6. Step 6: Final answer
    x = 735.36

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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.