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Finding the Fourth Proportional to 942.16, 1,413.89 and 575.83

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Solution

The fourth proportional to 942.16, 1,413.89 and 575.83 is: 864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.16 : 1,413.89 = 575.83 : x
  2. Step 2: Convert to fraction form
    942.16/1,413.89 = 575.83/x
  3. Step 3: Cross multiply
    942.16x = 1,413.89 × 575.83
  4. Step 4: Simplify right side
    942.16x = 814,157.40
  5. Step 5: Solve for x
    x = 814,157.40/942.16
  6. Step 6: Final answer
    x = 864.14

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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.