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Finding the Fourth Proportional to 760.44, 1,139.67 and 413.86

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Solution

The fourth proportional to 760.44, 1,139.67 and 413.86 is: 620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.44 : 1,139.67 = 413.86 : x
  2. Step 2: Convert to fraction form
    760.44/1,139.67 = 413.86/x
  3. Step 3: Cross multiply
    760.44x = 1,139.67 × 413.86
  4. Step 4: Simplify right side
    760.44x = 471,663.11
  5. Step 5: Solve for x
    x = 471,663.11/760.44
  6. Step 6: Final answer
    x = 620.25

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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.