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Finding the Fourth Proportional to 773.24, 1,157.58 and 407.24

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Solution

The fourth proportional to 773.24, 1,157.58 and 407.24 is: 609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.24 : 1,157.58 = 407.24 : x
  2. Step 2: Convert to fraction form
    773.24/1,157.58 = 407.24/x
  3. Step 3: Cross multiply
    773.24x = 1,157.58 × 407.24
  4. Step 4: Simplify right side
    773.24x = 471,412.88
  5. Step 5: Solve for x
    x = 471,412.88/773.24
  6. Step 6: Final answer
    x = 609.66

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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.