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Finding the Fourth Proportional to 772.96, 1,159.32 and 259.96

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Solution

The fourth proportional to 772.96, 1,159.32 and 259.96 is: 389.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.96 : 1,159.32 = 259.96 : x
  2. Step 2: Convert to fraction form
    772.96/1,159.32 = 259.96/x
  3. Step 3: Cross multiply
    772.96x = 1,159.32 × 259.96
  4. Step 4: Simplify right side
    772.96x = 301,376.83
  5. Step 5: Solve for x
    x = 301,376.83/772.96
  6. Step 6: Final answer
    x = 389.90

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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.