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Finding the Fourth Proportional to 693.36, 1,039.76 and 415.76

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Solution

The fourth proportional to 693.36, 1,039.76 and 415.76 is: 623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.36 : 1,039.76 = 415.76 : x
  2. Step 2: Convert to fraction form
    693.36/1,039.76 = 415.76/x
  3. Step 3: Cross multiply
    693.36x = 1,039.76 × 415.76
  4. Step 4: Simplify right side
    693.36x = 432,290.62
  5. Step 5: Solve for x
    x = 432,290.62/693.36
  6. Step 6: Final answer
    x = 623.47

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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.