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Finding the Fourth Proportional to 906.70, 1,360.48 and 413.02

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Solution

The fourth proportional to 906.70, 1,360.48 and 413.02 is: 619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.70 : 1,360.48 = 413.02 : x
  2. Step 2: Convert to fraction form
    906.70/1,360.48 = 413.02/x
  3. Step 3: Cross multiply
    906.70x = 1,360.48 × 413.02
  4. Step 4: Simplify right side
    906.70x = 561,905.45
  5. Step 5: Solve for x
    x = 561,905.45/906.70
  6. Step 6: Final answer
    x = 619.73

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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.