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Finding the Fourth Proportional to 714.13, 1,071.20 and 275.58

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Solution

The fourth proportional to 714.13, 1,071.20 and 275.58 is: 413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.13 : 1,071.20 = 275.58 : x
  2. Step 2: Convert to fraction form
    714.13/1,071.20 = 275.58/x
  3. Step 3: Cross multiply
    714.13x = 1,071.20 × 275.58
  4. Step 4: Simplify right side
    714.13x = 295,201.98
  5. Step 5: Solve for x
    x = 295,201.98/714.13
  6. Step 6: Final answer
    x = 413.37

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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.