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Finding the Fourth Proportional to 756.16, 1,134.06 and 293.74

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Solution

The fourth proportional to 756.16, 1,134.06 and 293.74 is: 440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.16 : 1,134.06 = 293.74 : x
  2. Step 2: Convert to fraction form
    756.16/1,134.06 = 293.74/x
  3. Step 3: Cross multiply
    756.16x = 1,134.06 × 293.74
  4. Step 4: Simplify right side
    756.16x = 333,118.78
  5. Step 5: Solve for x
    x = 333,118.78/756.16
  6. Step 6: Final answer
    x = 440.54

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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.