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Finding the Fourth Proportional to 697.72, 1,047.14 and 369.03

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Solution

The fourth proportional to 697.72, 1,047.14 and 369.03 is: 553.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.72 : 1,047.14 = 369.03 : x
  2. Step 2: Convert to fraction form
    697.72/1,047.14 = 369.03/x
  3. Step 3: Cross multiply
    697.72x = 1,047.14 × 369.03
  4. Step 4: Simplify right side
    697.72x = 386,426.07
  5. Step 5: Solve for x
    x = 386,426.07/697.72
  6. Step 6: Final answer
    x = 553.84

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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.