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Finding the Fourth Proportional to 847.35, 1,174.64 and 832.19

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Solution

The fourth proportional to 847.35, 1,174.64 and 832.19 is: 1,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.35 : 1,174.64 = 832.19 : x
  2. Step 2: Convert to fraction form
    847.35/1,174.64 = 832.19/x
  3. Step 3: Cross multiply
    847.35x = 1,174.64 × 832.19
  4. Step 4: Simplify right side
    847.35x = 977,513.63
  5. Step 5: Solve for x
    x = 977,513.63/847.35
  6. Step 6: Final answer
    x = 1,153.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.