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Finding the Fourth Proportional to 755.08, 1,041.75 and 423.46

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Solution

The fourth proportional to 755.08, 1,041.75 and 423.46 is: 584.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.08 : 1,041.75 = 423.46 : x
  2. Step 2: Convert to fraction form
    755.08/1,041.75 = 423.46/x
  3. Step 3: Cross multiply
    755.08x = 1,041.75 × 423.46
  4. Step 4: Simplify right side
    755.08x = 441,139.46
  5. Step 5: Solve for x
    x = 441,139.46/755.08
  6. Step 6: Final answer
    x = 584.23

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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.