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Finding the Fourth Proportional to 1,054.80, 1,580.42 and 505.78

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Solution

The fourth proportional to 1,054.80, 1,580.42 and 505.78 is: 757.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.80 : 1,580.42 = 505.78 : x
  2. Step 2: Convert to fraction form
    1,054.80/1,580.42 = 505.78/x
  3. Step 3: Cross multiply
    1,054.80x = 1,580.42 × 505.78
  4. Step 4: Simplify right side
    1,054.80x = 799,342.14
  5. Step 5: Solve for x
    x = 799,342.14/1,054.80
  6. Step 6: Final answer
    x = 757.81

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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.