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Finding the Fourth Proportional to 703.32, 1,054.86 and 241.08

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Solution

The fourth proportional to 703.32, 1,054.86 and 241.08 is: 361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.32 : 1,054.86 = 241.08 : x
  2. Step 2: Convert to fraction form
    703.32/1,054.86 = 241.08/x
  3. Step 3: Cross multiply
    703.32x = 1,054.86 × 241.08
  4. Step 4: Simplify right side
    703.32x = 254,305.65
  5. Step 5: Solve for x
    x = 254,305.65/703.32
  6. Step 6: Final answer
    x = 361.58

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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.