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Finding the Fourth Proportional to 1,040.53, 1,434.63 and 760.54

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Solution

The fourth proportional to 1,040.53, 1,434.63 and 760.54 is: 1,048.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.53 : 1,434.63 = 760.54 : x
  2. Step 2: Convert to fraction form
    1,040.53/1,434.63 = 760.54/x
  3. Step 3: Cross multiply
    1,040.53x = 1,434.63 × 760.54
  4. Step 4: Simplify right side
    1,040.53x = 1,091,093.50
  5. Step 5: Solve for x
    x = 1,091,093.50/1,040.53
  6. Step 6: Final answer
    x = 1,048.59

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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.