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Finding the Fourth Proportional to 716.06, 986.64 and 482.78

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Solution

The fourth proportional to 716.06, 986.64 and 482.78 is: 665.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.06 : 986.64 = 482.78 : x
  2. Step 2: Convert to fraction form
    716.06/986.64 = 482.78/x
  3. Step 3: Cross multiply
    716.06x = 986.64 × 482.78
  4. Step 4: Simplify right side
    716.06x = 476,330.06
  5. Step 5: Solve for x
    x = 476,330.06/716.06
  6. Step 6: Final answer
    x = 665.21

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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.