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Finding the Fourth Proportional to 786.49, 1,174.42 and 684.01

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Solution

The fourth proportional to 786.49, 1,174.42 and 684.01 is: 1,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.49 : 1,174.42 = 684.01 : x
  2. Step 2: Convert to fraction form
    786.49/1,174.42 = 684.01/x
  3. Step 3: Cross multiply
    786.49x = 1,174.42 × 684.01
  4. Step 4: Simplify right side
    786.49x = 803,311.60
  5. Step 5: Solve for x
    x = 803,311.60/786.49
  6. Step 6: Final answer
    x = 1,021.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.