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Finding the Fourth Proportional to 1,185.46, 1,778.14 and 307.96

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Solution

The fourth proportional to 1,185.46, 1,778.14 and 307.96 is: 461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.46 : 1,778.14 = 307.96 : x
  2. Step 2: Convert to fraction form
    1,185.46/1,778.14 = 307.96/x
  3. Step 3: Cross multiply
    1,185.46x = 1,778.14 × 307.96
  4. Step 4: Simplify right side
    1,185.46x = 547,595.99
  5. Step 5: Solve for x
    x = 547,595.99/1,185.46
  6. Step 6: Final answer
    x = 461.93

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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.