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Finding the Fourth Proportional to 738.74, 1,105.96 and 429.65

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Solution

The fourth proportional to 738.74, 1,105.96 and 429.65 is: 643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.74 : 1,105.96 = 429.65 : x
  2. Step 2: Convert to fraction form
    738.74/1,105.96 = 429.65/x
  3. Step 3: Cross multiply
    738.74x = 1,105.96 × 429.65
  4. Step 4: Simplify right side
    738.74x = 475,169.11
  5. Step 5: Solve for x
    x = 475,169.11/738.74
  6. Step 6: Final answer
    x = 643.22

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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.