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Finding the Fourth Proportional to 774.93, 1,162.53 and 466.86

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Solution

The fourth proportional to 774.93, 1,162.53 and 466.86 is: 700.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.93 : 1,162.53 = 466.86 : x
  2. Step 2: Convert to fraction form
    774.93/1,162.53 = 466.86/x
  3. Step 3: Cross multiply
    774.93x = 1,162.53 × 466.86
  4. Step 4: Simplify right side
    774.93x = 542,738.76
  5. Step 5: Solve for x
    x = 542,738.76/774.93
  6. Step 6: Final answer
    x = 700.37

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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.