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Finding the Fourth Proportional to 693.77, 1,041.12 and 369.36

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Solution

The fourth proportional to 693.77, 1,041.12 and 369.36 is: 554.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.77 : 1,041.12 = 369.36 : x
  2. Step 2: Convert to fraction form
    693.77/1,041.12 = 369.36/x
  3. Step 3: Cross multiply
    693.77x = 1,041.12 × 369.36
  4. Step 4: Simplify right side
    693.77x = 384,548.08
  5. Step 5: Solve for x
    x = 384,548.08/693.77
  6. Step 6: Final answer
    x = 554.29

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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.