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Finding the Fourth Proportional to 693.90, 1,038.24 and 415.23

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Solution

The fourth proportional to 693.90, 1,038.24 and 415.23 is: 621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.90 : 1,038.24 = 415.23 : x
  2. Step 2: Convert to fraction form
    693.90/1,038.24 = 415.23/x
  3. Step 3: Cross multiply
    693.90x = 1,038.24 × 415.23
  4. Step 4: Simplify right side
    693.90x = 431,109.95
  5. Step 5: Solve for x
    x = 431,109.95/693.90
  6. Step 6: Final answer
    x = 621.29

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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.