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Finding the Fourth Proportional to 788, 1,182.24 and 275

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Solution

The fourth proportional to 788, 1,182.24 and 275 is: 412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    788 : 1,182.24 = 275 : x
  2. Step 2: Convert to fraction form
    788/1,182.24 = 275/x
  3. Step 3: Cross multiply
    788x = 1,182.24 × 275
  4. Step 4: Simplify right side
    788x = 325,116
  5. Step 5: Solve for x
    x = 325,116/788
  6. Step 6: Final answer
    x = 412.58

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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.