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Finding the Fourth Proportional to 1,410.25, 1,945.49 and 913.06

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Solution

The fourth proportional to 1,410.25, 1,945.49 and 913.06 is: 1,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.25 : 1,945.49 = 913.06 : x
  2. Step 2: Convert to fraction form
    1,410.25/1,945.49 = 913.06/x
  3. Step 3: Cross multiply
    1,410.25x = 1,945.49 × 913.06
  4. Step 4: Simplify right side
    1,410.25x = 1,776,343.73
  5. Step 5: Solve for x
    x = 1,776,343.73/1,410.25
  6. Step 6: Final answer
    x = 1,259.59

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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.