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Finding the Fourth Proportional to 795.69, 1,192.95 and 384.51

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Solution

The fourth proportional to 795.69, 1,192.95 and 384.51 is: 576.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.69 : 1,192.95 = 384.51 : x
  2. Step 2: Convert to fraction form
    795.69/1,192.95 = 384.51/x
  3. Step 3: Cross multiply
    795.69x = 1,192.95 × 384.51
  4. Step 4: Simplify right side
    795.69x = 458,701.20
  5. Step 5: Solve for x
    x = 458,701.20/795.69
  6. Step 6: Final answer
    x = 576.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.