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Finding the Fourth Proportional to 900.68, 1,349.22 and 413.06

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Solution

The fourth proportional to 900.68, 1,349.22 and 413.06 is: 618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.68 : 1,349.22 = 413.06 : x
  2. Step 2: Convert to fraction form
    900.68/1,349.22 = 413.06/x
  3. Step 3: Cross multiply
    900.68x = 1,349.22 × 413.06
  4. Step 4: Simplify right side
    900.68x = 557,308.81
  5. Step 5: Solve for x
    x = 557,308.81/900.68
  6. Step 6: Final answer
    x = 618.76

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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.