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Finding the Fourth Proportional to 703.96, 1,056.24 and 293.40

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Solution

The fourth proportional to 703.96, 1,056.24 and 293.40 is: 440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.96 : 1,056.24 = 293.40 : x
  2. Step 2: Convert to fraction form
    703.96/1,056.24 = 293.40/x
  3. Step 3: Cross multiply
    703.96x = 1,056.24 × 293.40
  4. Step 4: Simplify right side
    703.96x = 309,900.82
  5. Step 5: Solve for x
    x = 309,900.82/703.96
  6. Step 6: Final answer
    x = 440.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.