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Finding the Fourth Proportional to 693.34, 1,041.23 and 406.58

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Solution

The fourth proportional to 693.34, 1,041.23 and 406.58 is: 610.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.34 : 1,041.23 = 406.58 : x
  2. Step 2: Convert to fraction form
    693.34/1,041.23 = 406.58/x
  3. Step 3: Cross multiply
    693.34x = 1,041.23 × 406.58
  4. Step 4: Simplify right side
    693.34x = 423,343.29
  5. Step 5: Solve for x
    x = 423,343.29/693.34
  6. Step 6: Final answer
    x = 610.59

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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.