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Finding the Fourth Proportional to 795.58, 1,192.96 and 466.64

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Solution

The fourth proportional to 795.58, 1,192.96 and 466.64 is: 699.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.58 : 1,192.96 = 466.64 : x
  2. Step 2: Convert to fraction form
    795.58/1,192.96 = 466.64/x
  3. Step 3: Cross multiply
    795.58x = 1,192.96 × 466.64
  4. Step 4: Simplify right side
    795.58x = 556,682.85
  5. Step 5: Solve for x
    x = 556,682.85/795.58
  6. Step 6: Final answer
    x = 699.72

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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.