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Finding the Fourth Proportional to 1,152.60, 1,716.67 and 1,147.02

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Solution

The fourth proportional to 1,152.60, 1,716.67 and 1,147.02 is: 1,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.60 : 1,716.67 = 1,147.02 : x
  2. Step 2: Convert to fraction form
    1,152.60/1,716.67 = 1,147.02/x
  3. Step 3: Cross multiply
    1,152.60x = 1,716.67 × 1,147.02
  4. Step 4: Simplify right side
    1,152.60x = 1,969,054.82
  5. Step 5: Solve for x
    x = 1,969,054.82/1,152.60
  6. Step 6: Final answer
    x = 1,708.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.