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Finding the Fourth Proportional to 703.81, 1,055.72 and 292.94

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Solution

The fourth proportional to 703.81, 1,055.72 and 292.94 is: 439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.81 : 1,055.72 = 292.94 : x
  2. Step 2: Convert to fraction form
    703.81/1,055.72 = 292.94/x
  3. Step 3: Cross multiply
    703.81x = 1,055.72 × 292.94
  4. Step 4: Simplify right side
    703.81x = 309,262.62
  5. Step 5: Solve for x
    x = 309,262.62/703.81
  6. Step 6: Final answer
    x = 439.41

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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.