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Finding the Fourth Proportional to 715.44, 1,071.84 and 471.72

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Solution

The fourth proportional to 715.44, 1,071.84 and 471.72 is: 706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.44 : 1,071.84 = 471.72 : x
  2. Step 2: Convert to fraction form
    715.44/1,071.84 = 471.72/x
  3. Step 3: Cross multiply
    715.44x = 1,071.84 × 471.72
  4. Step 4: Simplify right side
    715.44x = 505,608.36
  5. Step 5: Solve for x
    x = 505,608.36/715.44
  6. Step 6: Final answer
    x = 706.71

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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.