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Finding the Fourth Proportional to 795.02, 1,192.77 and 384.20

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Solution

The fourth proportional to 795.02, 1,192.77 and 384.20 is: 576.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.02 : 1,192.77 = 384.20 : x
  2. Step 2: Convert to fraction form
    795.02/1,192.77 = 384.20/x
  3. Step 3: Cross multiply
    795.02x = 1,192.77 × 384.20
  4. Step 4: Simplify right side
    795.02x = 458,256.27
  5. Step 5: Solve for x
    x = 458,256.27/795.02
  6. Step 6: Final answer
    x = 576.41

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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.