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Finding the Fourth Proportional to 759.40, 1,047.98 and 427.84

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Solution

The fourth proportional to 759.40, 1,047.98 and 427.84 is: 590.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.40 : 1,047.98 = 427.84 : x
  2. Step 2: Convert to fraction form
    759.40/1,047.98 = 427.84/x
  3. Step 3: Cross multiply
    759.40x = 1,047.98 × 427.84
  4. Step 4: Simplify right side
    759.40x = 448,367.76
  5. Step 5: Solve for x
    x = 448,367.76/759.40
  6. Step 6: Final answer
    x = 590.42

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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.