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Finding the Fourth Proportional to 736.98, 1,019.64 and 709.98

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Solution

The fourth proportional to 736.98, 1,019.64 and 709.98 is: 982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.98 : 1,019.64 = 709.98 : x
  2. Step 2: Convert to fraction form
    736.98/1,019.64 = 709.98/x
  3. Step 3: Cross multiply
    736.98x = 1,019.64 × 709.98
  4. Step 4: Simplify right side
    736.98x = 723,924.01
  5. Step 5: Solve for x
    x = 723,924.01/736.98
  6. Step 6: Final answer
    x = 982.28

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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.