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Finding the Fourth Proportional to 756.87, 1,134.98 and 288.26

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Solution

The fourth proportional to 756.87, 1,134.98 and 288.26 is: 432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.87 : 1,134.98 = 288.26 : x
  2. Step 2: Convert to fraction form
    756.87/1,134.98 = 288.26/x
  3. Step 3: Cross multiply
    756.87x = 1,134.98 × 288.26
  4. Step 4: Simplify right side
    756.87x = 327,172.89
  5. Step 5: Solve for x
    x = 327,172.89/756.87
  6. Step 6: Final answer
    x = 432.27

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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.