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Finding the Fourth Proportional to 851.30, 1,174.64 and 536.44

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Solution

The fourth proportional to 851.30, 1,174.64 and 536.44 is: 740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.30 : 1,174.64 = 536.44 : x
  2. Step 2: Convert to fraction form
    851.30/1,174.64 = 536.44/x
  3. Step 3: Cross multiply
    851.30x = 1,174.64 × 536.44
  4. Step 4: Simplify right side
    851.30x = 630,122.29
  5. Step 5: Solve for x
    x = 630,122.29/851.30
  6. Step 6: Final answer
    x = 740.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.