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Finding the Fourth Proportional to 1,185.98, 1,634.90 and 760.56

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Solution

The fourth proportional to 1,185.98, 1,634.90 and 760.56 is: 1,048.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.98 : 1,634.90 = 760.56 : x
  2. Step 2: Convert to fraction form
    1,185.98/1,634.90 = 760.56/x
  3. Step 3: Cross multiply
    1,185.98x = 1,634.90 × 760.56
  4. Step 4: Simplify right side
    1,185.98x = 1,243,435.74
  5. Step 5: Solve for x
    x = 1,243,435.74/1,185.98
  6. Step 6: Final answer
    x = 1,048.45

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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.