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Finding the Fourth Proportional to 758.80, 1,047.03 and 427.21

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Solution

The fourth proportional to 758.80, 1,047.03 and 427.21 is: 589.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.80 : 1,047.03 = 427.21 : x
  2. Step 2: Convert to fraction form
    758.80/1,047.03 = 427.21/x
  3. Step 3: Cross multiply
    758.80x = 1,047.03 × 427.21
  4. Step 4: Simplify right side
    758.80x = 447,296.45
  5. Step 5: Solve for x
    x = 447,296.45/758.80
  6. Step 6: Final answer
    x = 589.48

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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.