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Finding the Fourth Proportional to 771.35, 1,064.03 and 456.50

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Solution

The fourth proportional to 771.35, 1,064.03 and 456.50 is: 629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.35 : 1,064.03 = 456.50 : x
  2. Step 2: Convert to fraction form
    771.35/1,064.03 = 456.50/x
  3. Step 3: Cross multiply
    771.35x = 1,064.03 × 456.50
  4. Step 4: Simplify right side
    771.35x = 485,730.07
  5. Step 5: Solve for x
    x = 485,730.07/771.35
  6. Step 6: Final answer
    x = 629.72

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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.