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Finding the Fourth Proportional to 673.14, 1,007.44 and 556.74

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Solution

The fourth proportional to 673.14, 1,007.44 and 556.74 is: 833.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.14 : 1,007.44 = 556.74 : x
  2. Step 2: Convert to fraction form
    673.14/1,007.44 = 556.74/x
  3. Step 3: Cross multiply
    673.14x = 1,007.44 × 556.74
  4. Step 4: Simplify right side
    673.14x = 560,880.75
  5. Step 5: Solve for x
    x = 560,880.75/673.14
  6. Step 6: Final answer
    x = 833.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.