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Finding the Fourth Proportional to 1,159.74, 1,738.31 and 466.25

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Solution

The fourth proportional to 1,159.74, 1,738.31 and 466.25 is: 698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.74 : 1,738.31 = 466.25 : x
  2. Step 2: Convert to fraction form
    1,159.74/1,738.31 = 466.25/x
  3. Step 3: Cross multiply
    1,159.74x = 1,738.31 × 466.25
  4. Step 4: Simplify right side
    1,159.74x = 810,476.01
  5. Step 5: Solve for x
    x = 810,476.01/1,159.74
  6. Step 6: Final answer
    x = 698.84

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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.