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Finding the Fourth Proportional to 1,296.55, 1,945.01 and 474.63

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Solution

The fourth proportional to 1,296.55, 1,945.01 and 474.63 is: 712.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.55 : 1,945.01 = 474.63 : x
  2. Step 2: Convert to fraction form
    1,296.55/1,945.01 = 474.63/x
  3. Step 3: Cross multiply
    1,296.55x = 1,945.01 × 474.63
  4. Step 4: Simplify right side
    1,296.55x = 923,160.10
  5. Step 5: Solve for x
    x = 923,160.10/1,296.55
  6. Step 6: Final answer
    x = 712.01

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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.