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Finding the Fourth Proportional to 1,054.46, 1,452.77 and 735.12

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Solution

The fourth proportional to 1,054.46, 1,452.77 and 735.12 is: 1,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.46 : 1,452.77 = 735.12 : x
  2. Step 2: Convert to fraction form
    1,054.46/1,452.77 = 735.12/x
  3. Step 3: Cross multiply
    1,054.46x = 1,452.77 × 735.12
  4. Step 4: Simplify right side
    1,054.46x = 1,067,956.61
  5. Step 5: Solve for x
    x = 1,067,956.61/1,054.46
  6. Step 6: Final answer
    x = 1,012.80

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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.