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Finding the Fourth Proportional to 1,092.02, 1,629.60 and 975.22

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Solution

The fourth proportional to 1,092.02, 1,629.60 and 975.22 is: 1,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.02 : 1,629.60 = 975.22 : x
  2. Step 2: Convert to fraction form
    1,092.02/1,629.60 = 975.22/x
  3. Step 3: Cross multiply
    1,092.02x = 1,629.60 × 975.22
  4. Step 4: Simplify right side
    1,092.02x = 1,589,218.51
  5. Step 5: Solve for x
    x = 1,589,218.51/1,092.02
  6. Step 6: Final answer
    x = 1,455.30

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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.