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Finding the Fourth Proportional to 1,130.85, 1,704.75 and 1,055.59

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Solution

The fourth proportional to 1,130.85, 1,704.75 and 1,055.59 is: 1,591.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.85 : 1,704.75 = 1,055.59 : x
  2. Step 2: Convert to fraction form
    1,130.85/1,704.75 = 1,055.59/x
  3. Step 3: Cross multiply
    1,130.85x = 1,704.75 × 1,055.59
  4. Step 4: Simplify right side
    1,130.85x = 1,799,508.83
  5. Step 5: Solve for x
    x = 1,799,508.83/1,130.85
  6. Step 6: Final answer
    x = 1,591.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.