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Finding the Fourth Proportional to 771.67, 1,064.99 and 457.04

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Solution

The fourth proportional to 771.67, 1,064.99 and 457.04 is: 630.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.67 : 1,064.99 = 457.04 : x
  2. Step 2: Convert to fraction form
    771.67/1,064.99 = 457.04/x
  3. Step 3: Cross multiply
    771.67x = 1,064.99 × 457.04
  4. Step 4: Simplify right side
    771.67x = 486,735.42
  5. Step 5: Solve for x
    x = 486,735.42/771.67
  6. Step 6: Final answer
    x = 630.76

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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.