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Finding the Fourth Proportional to 1,444.42, 1,993.35 and 913.11

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Solution

The fourth proportional to 1,444.42, 1,993.35 and 913.11 is: 1,260.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.42 : 1,993.35 = 913.11 : x
  2. Step 2: Convert to fraction form
    1,444.42/1,993.35 = 913.11/x
  3. Step 3: Cross multiply
    1,444.42x = 1,993.35 × 913.11
  4. Step 4: Simplify right side
    1,444.42x = 1,820,147.82
  5. Step 5: Solve for x
    x = 1,820,147.82/1,444.42
  6. Step 6: Final answer
    x = 1,260.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.