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Finding the Fourth Proportional to 1,051.56, 1,449.62 and 752.63

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Solution

The fourth proportional to 1,051.56, 1,449.62 and 752.63 is: 1,037.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.56 : 1,449.62 = 752.63 : x
  2. Step 2: Convert to fraction form
    1,051.56/1,449.62 = 752.63/x
  3. Step 3: Cross multiply
    1,051.56x = 1,449.62 × 752.63
  4. Step 4: Simplify right side
    1,051.56x = 1,091,016.49
  5. Step 5: Solve for x
    x = 1,091,016.49/1,051.56
  6. Step 6: Final answer
    x = 1,037.52

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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.