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Finding the Fourth Proportional to 736.84, 1,106.03 and 390.09

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Solution

The fourth proportional to 736.84, 1,106.03 and 390.09 is: 585.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.84 : 1,106.03 = 390.09 : x
  2. Step 2: Convert to fraction form
    736.84/1,106.03 = 390.09/x
  3. Step 3: Cross multiply
    736.84x = 1,106.03 × 390.09
  4. Step 4: Simplify right side
    736.84x = 431,452.22
  5. Step 5: Solve for x
    x = 431,452.22/736.84
  6. Step 6: Final answer
    x = 585.55

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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.