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Finding the Fourth Proportional to 1,674.75, 2,511.64 and 564.05

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Solution

The fourth proportional to 1,674.75, 2,511.64 and 564.05 is: 845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.75 : 2,511.64 = 564.05 : x
  2. Step 2: Convert to fraction form
    1,674.75/2,511.64 = 564.05/x
  3. Step 3: Cross multiply
    1,674.75x = 2,511.64 × 564.05
  4. Step 4: Simplify right side
    1,674.75x = 1,416,678.69
  5. Step 5: Solve for x
    x = 1,416,678.69/1,674.75
  6. Step 6: Final answer
    x = 845.90

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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.