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Finding the Fourth Proportional to 759.04, 1,047.46 and 422.94

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Solution

The fourth proportional to 759.04, 1,047.46 and 422.94 is: 583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.04 : 1,047.46 = 422.94 : x
  2. Step 2: Convert to fraction form
    759.04/1,047.46 = 422.94/x
  3. Step 3: Cross multiply
    759.04x = 1,047.46 × 422.94
  4. Step 4: Simplify right side
    759.04x = 443,010.50
  5. Step 5: Solve for x
    x = 443,010.50/759.04
  6. Step 6: Final answer
    x = 583.64

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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.