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Finding the Fourth Proportional to 1,379.63, 1,903.26 and 961.01

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Solution

The fourth proportional to 1,379.63, 1,903.26 and 961.01 is: 1,325.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.63 : 1,903.26 = 961.01 : x
  2. Step 2: Convert to fraction form
    1,379.63/1,903.26 = 961.01/x
  3. Step 3: Cross multiply
    1,379.63x = 1,903.26 × 961.01
  4. Step 4: Simplify right side
    1,379.63x = 1,829,051.89
  5. Step 5: Solve for x
    x = 1,829,051.89/1,379.63
  6. Step 6: Final answer
    x = 1,325.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.