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Finding the Fourth Proportional to 832.16, 1,245.60 and 465.83

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Solution

The fourth proportional to 832.16, 1,245.60 and 465.83 is: 697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.16 : 1,245.60 = 465.83 : x
  2. Step 2: Convert to fraction form
    832.16/1,245.60 = 465.83/x
  3. Step 3: Cross multiply
    832.16x = 1,245.60 × 465.83
  4. Step 4: Simplify right side
    832.16x = 580,237.85
  5. Step 5: Solve for x
    x = 580,237.85/832.16
  6. Step 6: Final answer
    x = 697.27

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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.