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Finding the Fourth Proportional to 1,024.41, 1,533.36 and 734.97

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Solution

The fourth proportional to 1,024.41, 1,533.36 and 734.97 is: 1,100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.41 : 1,533.36 = 734.97 : x
  2. Step 2: Convert to fraction form
    1,024.41/1,533.36 = 734.97/x
  3. Step 3: Cross multiply
    1,024.41x = 1,533.36 × 734.97
  4. Step 4: Simplify right side
    1,024.41x = 1,126,973.60
  5. Step 5: Solve for x
    x = 1,126,973.60/1,024.41
  6. Step 6: Final answer
    x = 1,100.12

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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.