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Finding the Fourth Proportional to 706.01, 1,059.80 and 413.87

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Solution

The fourth proportional to 706.01, 1,059.80 and 413.87 is: 621.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.01 : 1,059.80 = 413.87 : x
  2. Step 2: Convert to fraction form
    706.01/1,059.80 = 413.87/x
  3. Step 3: Cross multiply
    706.01x = 1,059.80 × 413.87
  4. Step 4: Simplify right side
    706.01x = 438,612.06
  5. Step 5: Solve for x
    x = 438,612.06/706.01
  6. Step 6: Final answer
    x = 621.26

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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.