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Finding the Fourth Proportional to 790.74, 1,185.96 and 242.77

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Solution

The fourth proportional to 790.74, 1,185.96 and 242.77 is: 364.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.74 : 1,185.96 = 242.77 : x
  2. Step 2: Convert to fraction form
    790.74/1,185.96 = 242.77/x
  3. Step 3: Cross multiply
    790.74x = 1,185.96 × 242.77
  4. Step 4: Simplify right side
    790.74x = 287,915.51
  5. Step 5: Solve for x
    x = 287,915.51/790.74
  6. Step 6: Final answer
    x = 364.11

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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.