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Finding the Fourth Proportional to 1,330.15, 1,995.23 and 746.95

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Solution

The fourth proportional to 1,330.15, 1,995.23 and 746.95 is: 1,120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.15 : 1,995.23 = 746.95 : x
  2. Step 2: Convert to fraction form
    1,330.15/1,995.23 = 746.95/x
  3. Step 3: Cross multiply
    1,330.15x = 1,995.23 × 746.95
  4. Step 4: Simplify right side
    1,330.15x = 1,490,333.31
  5. Step 5: Solve for x
    x = 1,490,333.31/1,330.15
  6. Step 6: Final answer
    x = 1,120.43

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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.