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Finding the Fourth Proportional to 1,296.66, 1,944.99 and 475.12

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Solution

The fourth proportional to 1,296.66, 1,944.99 and 475.12 is: 712.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.66 : 1,944.99 = 475.12 : x
  2. Step 2: Convert to fraction form
    1,296.66/1,944.99 = 475.12/x
  3. Step 3: Cross multiply
    1,296.66x = 1,944.99 × 475.12
  4. Step 4: Simplify right side
    1,296.66x = 924,103.65
  5. Step 5: Solve for x
    x = 924,103.65/1,296.66
  6. Step 6: Final answer
    x = 712.68

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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.