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Finding the Fourth Proportional to 1,304.54, 1,800.26 and 780.57

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Solution

The fourth proportional to 1,304.54, 1,800.26 and 780.57 is: 1,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.54 : 1,800.26 = 780.57 : x
  2. Step 2: Convert to fraction form
    1,304.54/1,800.26 = 780.57/x
  3. Step 3: Cross multiply
    1,304.54x = 1,800.26 × 780.57
  4. Step 4: Simplify right side
    1,304.54x = 1,405,225.05
  5. Step 5: Solve for x
    x = 1,405,225.05/1,304.54
  6. Step 6: Final answer
    x = 1,077.18

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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.