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Finding the Fourth Proportional to 714.69, 986.50 and 416.03

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Solution

The fourth proportional to 714.69, 986.50 and 416.03 is: 574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.69 : 986.50 = 416.03 : x
  2. Step 2: Convert to fraction form
    714.69/986.50 = 416.03/x
  3. Step 3: Cross multiply
    714.69x = 986.50 × 416.03
  4. Step 4: Simplify right side
    714.69x = 410,413.60
  5. Step 5: Solve for x
    x = 410,413.60/714.69
  6. Step 6: Final answer
    x = 574.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.