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Finding the Fourth Proportional to 1,410.29, 1,945.55 and 913.09

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Solution

The fourth proportional to 1,410.29, 1,945.55 and 913.09 is: 1,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.29 : 1,945.55 = 913.09 : x
  2. Step 2: Convert to fraction form
    1,410.29/1,945.55 = 913.09/x
  3. Step 3: Cross multiply
    1,410.29x = 1,945.55 × 913.09
  4. Step 4: Simplify right side
    1,410.29x = 1,776,452.82
  5. Step 5: Solve for x
    x = 1,776,452.82/1,410.29
  6. Step 6: Final answer
    x = 1,259.64

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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.