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Finding the Fourth Proportional to 715.64, 1,072.44 and 325.49

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Solution

The fourth proportional to 715.64, 1,072.44 and 325.49 is: 487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.64 : 1,072.44 = 325.49 : x
  2. Step 2: Convert to fraction form
    715.64/1,072.44 = 325.49/x
  3. Step 3: Cross multiply
    715.64x = 1,072.44 × 325.49
  4. Step 4: Simplify right side
    715.64x = 349,063.13
  5. Step 5: Solve for x
    x = 349,063.13/715.64
  6. Step 6: Final answer
    x = 487.77

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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.