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Finding the Fourth Proportional to 1,296.67, 1,945.12 and 556.32

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Solution

The fourth proportional to 1,296.67, 1,945.12 and 556.32 is: 834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.67 : 1,945.12 = 556.32 : x
  2. Step 2: Convert to fraction form
    1,296.67/1,945.12 = 556.32/x
  3. Step 3: Cross multiply
    1,296.67x = 1,945.12 × 556.32
  4. Step 4: Simplify right side
    1,296.67x = 1,082,101.86
  5. Step 5: Solve for x
    x = 1,082,101.86/1,296.67
  6. Step 6: Final answer
    x = 834.52

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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.