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Finding the Fourth Proportional to 899.83, 1,349.84 and 413.02

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Solution

The fourth proportional to 899.83, 1,349.84 and 413.02 is: 619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.83 : 1,349.84 = 413.02 : x
  2. Step 2: Convert to fraction form
    899.83/1,349.84 = 413.02/x
  3. Step 3: Cross multiply
    899.83x = 1,349.84 × 413.02
  4. Step 4: Simplify right side
    899.83x = 557,510.92
  5. Step 5: Solve for x
    x = 557,510.92/899.83
  6. Step 6: Final answer
    x = 619.57

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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.