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Finding the Fourth Proportional to 703.53, 1,055.29 and 190.53

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Solution

The fourth proportional to 703.53, 1,055.29 and 190.53 is: 285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.53 : 1,055.29 = 190.53 : x
  2. Step 2: Convert to fraction form
    703.53/1,055.29 = 190.53/x
  3. Step 3: Cross multiply
    703.53x = 1,055.29 × 190.53
  4. Step 4: Simplify right side
    703.53x = 201,058.17
  5. Step 5: Solve for x
    x = 201,058.17/703.53
  6. Step 6: Final answer
    x = 285.79

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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.