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Finding the Fourth Proportional to 790.76, 1,185.74 and 461.80

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Solution

The fourth proportional to 790.76, 1,185.74 and 461.80 is: 692.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.76 : 1,185.74 = 461.80 : x
  2. Step 2: Convert to fraction form
    790.76/1,185.74 = 461.80/x
  3. Step 3: Cross multiply
    790.76x = 1,185.74 × 461.80
  4. Step 4: Simplify right side
    790.76x = 547,569.46
  5. Step 5: Solve for x
    x = 547,569.46/790.76
  6. Step 6: Final answer
    x = 692.46

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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.