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Finding the Fourth Proportional to 758.93, 1,047.27 and 427.29

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Solution

The fourth proportional to 758.93, 1,047.27 and 427.29 is: 589.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.93 : 1,047.27 = 427.29 : x
  2. Step 2: Convert to fraction form
    758.93/1,047.27 = 427.29/x
  3. Step 3: Cross multiply
    758.93x = 1,047.27 × 427.29
  4. Step 4: Simplify right side
    758.93x = 447,488.00
  5. Step 5: Solve for x
    x = 447,488.00/758.93
  6. Step 6: Final answer
    x = 589.63

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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.