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Finding the Fourth Proportional to 693.88, 1,041.29 and 309.13

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Solution

The fourth proportional to 693.88, 1,041.29 and 309.13 is: 463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.88 : 1,041.29 = 309.13 : x
  2. Step 2: Convert to fraction form
    693.88/1,041.29 = 309.13/x
  3. Step 3: Cross multiply
    693.88x = 1,041.29 × 309.13
  4. Step 4: Simplify right side
    693.88x = 321,893.98
  5. Step 5: Solve for x
    x = 321,893.98/693.88
  6. Step 6: Final answer
    x = 463.90

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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.