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Finding the Fourth Proportional to 1,299.29, 1,946.84 and 779.06

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Solution

The fourth proportional to 1,299.29, 1,946.84 and 779.06 is: 1,167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.29 : 1,946.84 = 779.06 : x
  2. Step 2: Convert to fraction form
    1,299.29/1,946.84 = 779.06/x
  3. Step 3: Cross multiply
    1,299.29x = 1,946.84 × 779.06
  4. Step 4: Simplify right side
    1,299.29x = 1,516,697.38
  5. Step 5: Solve for x
    x = 1,516,697.38/1,299.29
  6. Step 6: Final answer
    x = 1,167.33

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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.