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Finding the Fourth Proportional to 1,047.78, 1,571.22 and 755.19

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Solution

The fourth proportional to 1,047.78, 1,571.22 and 755.19 is: 1,132.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.78 : 1,571.22 = 755.19 : x
  2. Step 2: Convert to fraction form
    1,047.78/1,571.22 = 755.19/x
  3. Step 3: Cross multiply
    1,047.78x = 1,571.22 × 755.19
  4. Step 4: Simplify right side
    1,047.78x = 1,186,569.63
  5. Step 5: Solve for x
    x = 1,186,569.63/1,047.78
  6. Step 6: Final answer
    x = 1,132.46

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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.