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Finding the Fourth Proportional to 772.85, 1,158.12 and 406.76

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Solution

The fourth proportional to 772.85, 1,158.12 and 406.76 is: 609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.85 : 1,158.12 = 406.76 : x
  2. Step 2: Convert to fraction form
    772.85/1,158.12 = 406.76/x
  3. Step 3: Cross multiply
    772.85x = 1,158.12 × 406.76
  4. Step 4: Simplify right side
    772.85x = 471,071.10
  5. Step 5: Solve for x
    x = 471,071.10/772.85
  6. Step 6: Final answer
    x = 609.53

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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.