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Finding the Fourth Proportional to 1,397.30, 2,093.55 and 738.20

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Solution

The fourth proportional to 1,397.30, 2,093.55 and 738.20 is: 1,106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.30 : 2,093.55 = 738.20 : x
  2. Step 2: Convert to fraction form
    1,397.30/2,093.55 = 738.20/x
  3. Step 3: Cross multiply
    1,397.30x = 2,093.55 × 738.20
  4. Step 4: Simplify right side
    1,397.30x = 1,545,458.61
  5. Step 5: Solve for x
    x = 1,545,458.61/1,397.30
  6. Step 6: Final answer
    x = 1,106.03

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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.