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Finding the Fourth Proportional to 1,138.42, 1,708.26 and 1,055.80

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Solution

The fourth proportional to 1,138.42, 1,708.26 and 1,055.80 is: 1,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.42 : 1,708.26 = 1,055.80 : x
  2. Step 2: Convert to fraction form
    1,138.42/1,708.26 = 1,055.80/x
  3. Step 3: Cross multiply
    1,138.42x = 1,708.26 × 1,055.80
  4. Step 4: Simplify right side
    1,138.42x = 1,803,580.91
  5. Step 5: Solve for x
    x = 1,803,580.91/1,138.42
  6. Step 6: Final answer
    x = 1,584.28

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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.