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Finding the Fourth Proportional to 744.34, 1,027.02 and 522.94

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Solution

The fourth proportional to 744.34, 1,027.02 and 522.94 is: 721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.34 : 1,027.02 = 522.94 : x
  2. Step 2: Convert to fraction form
    744.34/1,027.02 = 522.94/x
  3. Step 3: Cross multiply
    744.34x = 1,027.02 × 522.94
  4. Step 4: Simplify right side
    744.34x = 537,069.84
  5. Step 5: Solve for x
    x = 537,069.84/744.34
  6. Step 6: Final answer
    x = 721.54

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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.