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Finding the Fourth Proportional to 703.96, 1,055.53 and 293.39

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Solution

The fourth proportional to 703.96, 1,055.53 and 293.39 is: 439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.96 : 1,055.53 = 293.39 : x
  2. Step 2: Convert to fraction form
    703.96/1,055.53 = 293.39/x
  3. Step 3: Cross multiply
    703.96x = 1,055.53 × 293.39
  4. Step 4: Simplify right side
    703.96x = 309,680.99
  5. Step 5: Solve for x
    x = 309,680.99/703.96
  6. Step 6: Final answer
    x = 439.91

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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.