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Finding the Fourth Proportional to 715.83, 1,072.32 and 471.61

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Solution

The fourth proportional to 715.83, 1,072.32 and 471.61 is: 706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.83 : 1,072.32 = 471.61 : x
  2. Step 2: Convert to fraction form
    715.83/1,072.32 = 471.61/x
  3. Step 3: Cross multiply
    715.83x = 1,072.32 × 471.61
  4. Step 4: Simplify right side
    715.83x = 505,716.41
  5. Step 5: Solve for x
    x = 505,716.41/715.83
  6. Step 6: Final answer
    x = 706.48

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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.