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Finding the Fourth Proportional to 693.72, 1,039.88 and 450.40

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Solution

The fourth proportional to 693.72, 1,039.88 and 450.40 is: 675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.72 : 1,039.88 = 450.40 : x
  2. Step 2: Convert to fraction form
    693.72/1,039.88 = 450.40/x
  3. Step 3: Cross multiply
    693.72x = 1,039.88 × 450.40
  4. Step 4: Simplify right side
    693.72x = 468,361.95
  5. Step 5: Solve for x
    x = 468,361.95/693.72
  6. Step 6: Final answer
    x = 675.15

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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.