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Finding the Fourth Proportional to 1,219.74, 1,830.25 and 450.46

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Solution

The fourth proportional to 1,219.74, 1,830.25 and 450.46 is: 675.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.74 : 1,830.25 = 450.46 : x
  2. Step 2: Convert to fraction form
    1,219.74/1,830.25 = 450.46/x
  3. Step 3: Cross multiply
    1,219.74x = 1,830.25 × 450.46
  4. Step 4: Simplify right side
    1,219.74x = 824,454.42
  5. Step 5: Solve for x
    x = 824,454.42/1,219.74
  6. Step 6: Final answer
    x = 675.93

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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.