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Finding the Fourth Proportional to 715.53, 1,072.05 and 391.11

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Solution

The fourth proportional to 715.53, 1,072.05 and 391.11 is: 585.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.53 : 1,072.05 = 391.11 : x
  2. Step 2: Convert to fraction form
    715.53/1,072.05 = 391.11/x
  3. Step 3: Cross multiply
    715.53x = 1,072.05 × 391.11
  4. Step 4: Simplify right side
    715.53x = 419,289.48
  5. Step 5: Solve for x
    x = 419,289.48/715.53
  6. Step 6: Final answer
    x = 585.98

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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.