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Finding the Fourth Proportional to 753.84, 1,128.42 and 521.37

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Solution

The fourth proportional to 753.84, 1,128.42 and 521.37 is: 780.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.84 : 1,128.42 = 521.37 : x
  2. Step 2: Convert to fraction form
    753.84/1,128.42 = 521.37/x
  3. Step 3: Cross multiply
    753.84x = 1,128.42 × 521.37
  4. Step 4: Simplify right side
    753.84x = 588,324.34
  5. Step 5: Solve for x
    x = 588,324.34/753.84
  6. Step 6: Final answer
    x = 780.44

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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.