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Finding the Fourth Proportional to 756.52, 1,134.02 and 294.01

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Solution

The fourth proportional to 756.52, 1,134.02 and 294.01 is: 440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.52 : 1,134.02 = 294.01 : x
  2. Step 2: Convert to fraction form
    756.52/1,134.02 = 294.01/x
  3. Step 3: Cross multiply
    756.52x = 1,134.02 × 294.01
  4. Step 4: Simplify right side
    756.52x = 333,411.75
  5. Step 5: Solve for x
    x = 333,411.75/756.52
  6. Step 6: Final answer
    x = 440.72

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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.