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Finding the Fourth Proportional to 1,158.60, 1,744.87 and 1,093.80

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Solution

The fourth proportional to 1,158.60, 1,744.87 and 1,093.80 is: 1,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.60 : 1,744.87 = 1,093.80 : x
  2. Step 2: Convert to fraction form
    1,158.60/1,744.87 = 1,093.80/x
  3. Step 3: Cross multiply
    1,158.60x = 1,744.87 × 1,093.80
  4. Step 4: Simplify right side
    1,158.60x = 1,908,538.81
  5. Step 5: Solve for x
    x = 1,908,538.81/1,158.60
  6. Step 6: Final answer
    x = 1,647.28

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Why These Related Problems?

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