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Finding the Fourth Proportional to 795.08, 1,192.90 and 362.28

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Solution

The fourth proportional to 795.08, 1,192.90 and 362.28 is: 543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.08 : 1,192.90 = 362.28 : x
  2. Step 2: Convert to fraction form
    795.08/1,192.90 = 362.28/x
  3. Step 3: Cross multiply
    795.08x = 1,192.90 × 362.28
  4. Step 4: Simplify right side
    795.08x = 432,163.81
  5. Step 5: Solve for x
    x = 432,163.81/795.08
  6. Step 6: Final answer
    x = 543.55

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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.