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Finding the Fourth Proportional to 713.99, 1,071.60 and 281.45

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Solution

The fourth proportional to 713.99, 1,071.60 and 281.45 is: 422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.99 : 1,071.60 = 281.45 : x
  2. Step 2: Convert to fraction form
    713.99/1,071.60 = 281.45/x
  3. Step 3: Cross multiply
    713.99x = 1,071.60 × 281.45
  4. Step 4: Simplify right side
    713.99x = 301,603.44
  5. Step 5: Solve for x
    x = 301,603.44/713.99
  6. Step 6: Final answer
    x = 422.42

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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.