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Finding the Fourth Proportional to 1,410.64, 1,945.22 and 851.00

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Solution

The fourth proportional to 1,410.64, 1,945.22 and 851.00 is: 1,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.64 : 1,945.22 = 851.00 : x
  2. Step 2: Convert to fraction form
    1,410.64/1,945.22 = 851.00/x
  3. Step 3: Cross multiply
    1,410.64x = 1,945.22 × 851.00
  4. Step 4: Simplify right side
    1,410.64x = 1,655,368.24
  5. Step 5: Solve for x
    x = 1,655,368.24/1,410.64
  6. Step 6: Final answer
    x = 1,173.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.