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Finding the Fourth Proportional to 714.98, 1,071.86 and 275.99

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Solution

The fourth proportional to 714.98, 1,071.86 and 275.99 is: 413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.98 : 1,071.86 = 275.99 : x
  2. Step 2: Convert to fraction form
    714.98/1,071.86 = 275.99/x
  3. Step 3: Cross multiply
    714.98x = 1,071.86 × 275.99
  4. Step 4: Simplify right side
    714.98x = 295,821.26
  5. Step 5: Solve for x
    x = 295,821.26/714.98
  6. Step 6: Final answer
    x = 413.75

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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.