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Finding the Fourth Proportional to 1,054.60, 1,454.89 and 661.54

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Solution

The fourth proportional to 1,054.60, 1,454.89 and 661.54 is: 912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.60 : 1,454.89 = 661.54 : x
  2. Step 2: Convert to fraction form
    1,054.60/1,454.89 = 661.54/x
  3. Step 3: Cross multiply
    1,054.60x = 1,454.89 × 661.54
  4. Step 4: Simplify right side
    1,054.60x = 962,467.93
  5. Step 5: Solve for x
    x = 962,467.93/1,054.60
  6. Step 6: Final answer
    x = 912.64

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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.