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Finding the Fourth Proportional to 754.34, 1,039.68 and 614.16

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Solution

The fourth proportional to 754.34, 1,039.68 and 614.16 is: 846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.34 : 1,039.68 = 614.16 : x
  2. Step 2: Convert to fraction form
    754.34/1,039.68 = 614.16/x
  3. Step 3: Cross multiply
    754.34x = 1,039.68 × 614.16
  4. Step 4: Simplify right side
    754.34x = 638,529.87
  5. Step 5: Solve for x
    x = 638,529.87/754.34
  6. Step 6: Final answer
    x = 846.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.