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Finding the Fourth Proportional to 696.47, 960.87 and 486.28

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Solution

The fourth proportional to 696.47, 960.87 and 486.28 is: 670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.47 : 960.87 = 486.28 : x
  2. Step 2: Convert to fraction form
    696.47/960.87 = 486.28/x
  3. Step 3: Cross multiply
    696.47x = 960.87 × 486.28
  4. Step 4: Simplify right side
    696.47x = 467,251.86
  5. Step 5: Solve for x
    x = 467,251.86/696.47
  6. Step 6: Final answer
    x = 670.89

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