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Finding the Fourth Proportional to 941.37, 1,413.27 and 508.83

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Solution

The fourth proportional to 941.37, 1,413.27 and 508.83 is: 763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.37 : 1,413.27 = 508.83 : x
  2. Step 2: Convert to fraction form
    941.37/1,413.27 = 508.83/x
  3. Step 3: Cross multiply
    941.37x = 1,413.27 × 508.83
  4. Step 4: Simplify right side
    941.37x = 719,114.17
  5. Step 5: Solve for x
    x = 719,114.17/941.37
  6. Step 6: Final answer
    x = 763.90

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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.