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Finding the Fourth Proportional to 744.08, 1,026.96 and 547.34

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Solution

The fourth proportional to 744.08, 1,026.96 and 547.34 is: 755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.08 : 1,026.96 = 547.34 : x
  2. Step 2: Convert to fraction form
    744.08/1,026.96 = 547.34/x
  3. Step 3: Cross multiply
    744.08x = 1,026.96 × 547.34
  4. Step 4: Simplify right side
    744.08x = 562,096.29
  5. Step 5: Solve for x
    x = 562,096.29/744.08
  6. Step 6: Final answer
    x = 755.42

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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.