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Finding the Fourth Proportional to 759.30, 1,047.94 and 427.83

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Solution

The fourth proportional to 759.30, 1,047.94 and 427.83 is: 590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.30 : 1,047.94 = 427.83 : x
  2. Step 2: Convert to fraction form
    759.30/1,047.94 = 427.83/x
  3. Step 3: Cross multiply
    759.30x = 1,047.94 × 427.83
  4. Step 4: Simplify right side
    759.30x = 448,341.07
  5. Step 5: Solve for x
    x = 448,341.07/759.30
  6. Step 6: Final answer
    x = 590.47

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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.