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Finding the Fourth Proportional to 1,309.09, 1,960.17 and 788.38

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Solution

The fourth proportional to 1,309.09, 1,960.17 and 788.38 is: 1,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.09 : 1,960.17 = 788.38 : x
  2. Step 2: Convert to fraction form
    1,309.09/1,960.17 = 788.38/x
  3. Step 3: Cross multiply
    1,309.09x = 1,960.17 × 788.38
  4. Step 4: Simplify right side
    1,309.09x = 1,545,368.65
  5. Step 5: Solve for x
    x = 1,545,368.65/1,309.09
  6. Step 6: Final answer
    x = 1,180.49

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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.