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Finding the Fourth Proportional to 832.16, 1,245.60 and 465.84

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Solution

The fourth proportional to 832.16, 1,245.60 and 465.84 is: 697.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.16 : 1,245.60 = 465.84 : x
  2. Step 2: Convert to fraction form
    832.16/1,245.60 = 465.84/x
  3. Step 3: Cross multiply
    832.16x = 1,245.60 × 465.84
  4. Step 4: Simplify right side
    832.16x = 580,250.30
  5. Step 5: Solve for x
    x = 580,250.30/832.16
  6. Step 6: Final answer
    x = 697.28

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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.