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Finding the Fourth Proportional to 1,054.12, 1,577.94 and 985.72

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Solution

The fourth proportional to 1,054.12, 1,577.94 and 985.72 is: 1,475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.12 : 1,577.94 = 985.72 : x
  2. Step 2: Convert to fraction form
    1,054.12/1,577.94 = 985.72/x
  3. Step 3: Cross multiply
    1,054.12x = 1,577.94 × 985.72
  4. Step 4: Simplify right side
    1,054.12x = 1,555,407.02
  5. Step 5: Solve for x
    x = 1,555,407.02/1,054.12
  6. Step 6: Final answer
    x = 1,475.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.