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Finding the Fourth Proportional to 1,173.48, 1,760.22 and 307.77

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Solution

The fourth proportional to 1,173.48, 1,760.22 and 307.77 is: 461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.48 : 1,760.22 = 307.77 : x
  2. Step 2: Convert to fraction form
    1,173.48/1,760.22 = 307.77/x
  3. Step 3: Cross multiply
    1,173.48x = 1,760.22 × 307.77
  4. Step 4: Simplify right side
    1,173.48x = 541,742.91
  5. Step 5: Solve for x
    x = 541,742.91/1,173.48
  6. Step 6: Final answer
    x = 461.66

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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.