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Finding the Fourth Proportional to 772.53, 1,156.32 and 406.83

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Solution

The fourth proportional to 772.53, 1,156.32 and 406.83 is: 608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.53 : 1,156.32 = 406.83 : x
  2. Step 2: Convert to fraction form
    772.53/1,156.32 = 406.83/x
  3. Step 3: Cross multiply
    772.53x = 1,156.32 × 406.83
  4. Step 4: Simplify right side
    772.53x = 470,425.67
  5. Step 5: Solve for x
    x = 470,425.67/772.53
  6. Step 6: Final answer
    x = 608.94

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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.