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Finding the Fourth Proportional to 714.06, 984.56 and 556.38

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Solution

The fourth proportional to 714.06, 984.56 and 556.38 is: 767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.06 : 984.56 = 556.38 : x
  2. Step 2: Convert to fraction form
    714.06/984.56 = 556.38/x
  3. Step 3: Cross multiply
    714.06x = 984.56 × 556.38
  4. Step 4: Simplify right side
    714.06x = 547,786.71
  5. Step 5: Solve for x
    x = 547,786.71/714.06
  6. Step 6: Final answer
    x = 767.14

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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.