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Finding the Fourth Proportional to 3,007.59, 4,511.67 and 816.33

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Solution

The fourth proportional to 3,007.59, 4,511.67 and 816.33 is: 1,224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.59 : 4,511.67 = 816.33 : x
  2. Step 2: Convert to fraction form
    3,007.59/4,511.67 = 816.33/x
  3. Step 3: Cross multiply
    3,007.59x = 4,511.67 × 816.33
  4. Step 4: Simplify right side
    3,007.59x = 3,683,011.57
  5. Step 5: Solve for x
    x = 3,683,011.57/3,007.59
  6. Step 6: Final answer
    x = 1,224.57

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1.5x scale

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.