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Finding the Fourth Proportional to 701.66, 1,051.68 and 413.30

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Solution

The fourth proportional to 701.66, 1,051.68 and 413.30 is: 619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.66 : 1,051.68 = 413.30 : x
  2. Step 2: Convert to fraction form
    701.66/1,051.68 = 413.30/x
  3. Step 3: Cross multiply
    701.66x = 1,051.68 × 413.30
  4. Step 4: Simplify right side
    701.66x = 434,659.34
  5. Step 5: Solve for x
    x = 434,659.34/701.66
  6. Step 6: Final answer
    x = 619.47

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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.