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Finding the Fourth Proportional to 1,304.40, 1,795.28 and 1,144

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Solution

The fourth proportional to 1,304.40, 1,795.28 and 1,144 is: 1,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.40 : 1,795.28 = 1,144 : x
  2. Step 2: Convert to fraction form
    1,304.40/1,795.28 = 1,144/x
  3. Step 3: Cross multiply
    1,304.40x = 1,795.28 × 1,144
  4. Step 4: Simplify right side
    1,304.40x = 2,053,800.32
  5. Step 5: Solve for x
    x = 2,053,800.32/1,304.40
  6. Step 6: Final answer
    x = 1,574.52

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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.