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Finding the Fourth Proportional to 790.19, 1,185.29 and 269.94

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Solution

The fourth proportional to 790.19, 1,185.29 and 269.94 is: 404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.19 : 1,185.29 = 269.94 : x
  2. Step 2: Convert to fraction form
    790.19/1,185.29 = 269.94/x
  3. Step 3: Cross multiply
    790.19x = 1,185.29 × 269.94
  4. Step 4: Simplify right side
    790.19x = 319,955.83
  5. Step 5: Solve for x
    x = 319,955.83/790.19
  6. Step 6: Final answer
    x = 404.91

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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.