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Finding the Fourth Proportional to 772.34, 1,157.82 and 285.04

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Solution

The fourth proportional to 772.34, 1,157.82 and 285.04 is: 427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.34 : 1,157.82 = 285.04 : x
  2. Step 2: Convert to fraction form
    772.34/1,157.82 = 285.04/x
  3. Step 3: Cross multiply
    772.34x = 1,157.82 × 285.04
  4. Step 4: Simplify right side
    772.34x = 330,025.01
  5. Step 5: Solve for x
    x = 330,025.01/772.34
  6. Step 6: Final answer
    x = 427.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.