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Finding the Fourth Proportional to 1,205.98, 1,808.78 and 415.46

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Solution

The fourth proportional to 1,205.98, 1,808.78 and 415.46 is: 623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.98 : 1,808.78 = 415.46 : x
  2. Step 2: Convert to fraction form
    1,205.98/1,808.78 = 415.46/x
  3. Step 3: Cross multiply
    1,205.98x = 1,808.78 × 415.46
  4. Step 4: Simplify right side
    1,205.98x = 751,475.74
  5. Step 5: Solve for x
    x = 751,475.74/1,205.98
  6. Step 6: Final answer
    x = 623.12

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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.