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Finding the Fourth Proportional to 759.81, 1,048.52 and 423.77

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Solution

The fourth proportional to 759.81, 1,048.52 and 423.77 is: 584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.81 : 1,048.52 = 423.77 : x
  2. Step 2: Convert to fraction form
    759.81/1,048.52 = 423.77/x
  3. Step 3: Cross multiply
    759.81x = 1,048.52 × 423.77
  4. Step 4: Simplify right side
    759.81x = 444,336.02
  5. Step 5: Solve for x
    x = 444,336.02/759.81
  6. Step 6: Final answer
    x = 584.80

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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.