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Finding the Fourth Proportional to 703.89, 1,055.43 and 292.68

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Solution

The fourth proportional to 703.89, 1,055.43 and 292.68 is: 438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.89 : 1,055.43 = 292.68 : x
  2. Step 2: Convert to fraction form
    703.89/1,055.43 = 292.68/x
  3. Step 3: Cross multiply
    703.89x = 1,055.43 × 292.68
  4. Step 4: Simplify right side
    703.89x = 308,903.25
  5. Step 5: Solve for x
    x = 308,903.25/703.89
  6. Step 6: Final answer
    x = 438.85

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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.