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Finding the Fourth Proportional to 1,267.23, 1,900.85 and 650.59

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Solution

The fourth proportional to 1,267.23, 1,900.85 and 650.59 is: 975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.23 : 1,900.85 = 650.59 : x
  2. Step 2: Convert to fraction form
    1,267.23/1,900.85 = 650.59/x
  3. Step 3: Cross multiply
    1,267.23x = 1,900.85 × 650.59
  4. Step 4: Simplify right side
    1,267.23x = 1,236,674.00
  5. Step 5: Solve for x
    x = 1,236,674.00/1,267.23
  6. Step 6: Final answer
    x = 975.89

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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.