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Finding the Fourth Proportional to 1,410.49, 1,945.24 and 912.64

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Solution

The fourth proportional to 1,410.49, 1,945.24 and 912.64 is: 1,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.49 : 1,945.24 = 912.64 : x
  2. Step 2: Convert to fraction form
    1,410.49/1,945.24 = 912.64/x
  3. Step 3: Cross multiply
    1,410.49x = 1,945.24 × 912.64
  4. Step 4: Simplify right side
    1,410.49x = 1,775,303.83
  5. Step 5: Solve for x
    x = 1,775,303.83/1,410.49
  6. Step 6: Final answer
    x = 1,258.64

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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.