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Finding the Fourth Proportional to 694.65, 1,041.15 and 347.88

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Solution

The fourth proportional to 694.65, 1,041.15 and 347.88 is: 521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.65 : 1,041.15 = 347.88 : x
  2. Step 2: Convert to fraction form
    694.65/1,041.15 = 347.88/x
  3. Step 3: Cross multiply
    694.65x = 1,041.15 × 347.88
  4. Step 4: Simplify right side
    694.65x = 362,195.26
  5. Step 5: Solve for x
    x = 362,195.26/694.65
  6. Step 6: Final answer
    x = 521.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.