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Finding the Fourth Proportional to 715.29, 1,073.09 and 423.01

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Solution

The fourth proportional to 715.29, 1,073.09 and 423.01 is: 634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.29 : 1,073.09 = 423.01 : x
  2. Step 2: Convert to fraction form
    715.29/1,073.09 = 423.01/x
  3. Step 3: Cross multiply
    715.29x = 1,073.09 × 423.01
  4. Step 4: Simplify right side
    715.29x = 453,928.39
  5. Step 5: Solve for x
    x = 453,928.39/715.29
  6. Step 6: Final answer
    x = 634.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.