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Finding the Fourth Proportional to 758.66, 1,046.82 and 427.02

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Solution

The fourth proportional to 758.66, 1,046.82 and 427.02 is: 589.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.66 : 1,046.82 = 427.02 : x
  2. Step 2: Convert to fraction form
    758.66/1,046.82 = 427.02/x
  3. Step 3: Cross multiply
    758.66x = 1,046.82 × 427.02
  4. Step 4: Simplify right side
    758.66x = 447,010.75
  5. Step 5: Solve for x
    x = 447,010.75/758.66
  6. Step 6: Final answer
    x = 589.21

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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.