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Finding the Fourth Proportional to 1,440.88, 1,979.79 and 1,145.63

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Solution

The fourth proportional to 1,440.88, 1,979.79 and 1,145.63 is: 1,574.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.88 : 1,979.79 = 1,145.63 : x
  2. Step 2: Convert to fraction form
    1,440.88/1,979.79 = 1,145.63/x
  3. Step 3: Cross multiply
    1,440.88x = 1,979.79 × 1,145.63
  4. Step 4: Simplify right side
    1,440.88x = 2,268,106.82
  5. Step 5: Solve for x
    x = 2,268,106.82/1,440.88
  6. Step 6: Final answer
    x = 1,574.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.