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Finding the Fourth Proportional to 1,709.36, 2,565.48 and 844.64

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Solution

The fourth proportional to 1,709.36, 2,565.48 and 844.64 is: 1,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.36 : 2,565.48 = 844.64 : x
  2. Step 2: Convert to fraction form
    1,709.36/2,565.48 = 844.64/x
  3. Step 3: Cross multiply
    1,709.36x = 2,565.48 × 844.64
  4. Step 4: Simplify right side
    1,709.36x = 2,166,907.03
  5. Step 5: Solve for x
    x = 2,166,907.03/1,709.36
  6. Step 6: Final answer
    x = 1,267.67

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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.