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Finding the Fourth Proportional to 942.32, 1,413.47 and 455.03

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Solution

The fourth proportional to 942.32, 1,413.47 and 455.03 is: 682.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.32 : 1,413.47 = 455.03 : x
  2. Step 2: Convert to fraction form
    942.32/1,413.47 = 455.03/x
  3. Step 3: Cross multiply
    942.32x = 1,413.47 × 455.03
  4. Step 4: Simplify right side
    942.32x = 643,175.93
  5. Step 5: Solve for x
    x = 643,175.93/942.32
  6. Step 6: Final answer
    x = 682.54

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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.