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Finding the Fourth Proportional to 1,296.99, 1,945.59 and 639.23

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Solution

The fourth proportional to 1,296.99, 1,945.59 and 639.23 is: 958.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.99 : 1,945.59 = 639.23 : x
  2. Step 2: Convert to fraction form
    1,296.99/1,945.59 = 639.23/x
  3. Step 3: Cross multiply
    1,296.99x = 1,945.59 × 639.23
  4. Step 4: Simplify right side
    1,296.99x = 1,243,669.77
  5. Step 5: Solve for x
    x = 1,243,669.77/1,296.99
  6. Step 6: Final answer
    x = 958.89

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1.5x scale

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.