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Finding the Fourth Proportional to 1,173.58, 1,760.38 and 307.89

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Solution

The fourth proportional to 1,173.58, 1,760.38 and 307.89 is: 461.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.58 : 1,760.38 = 307.89 : x
  2. Step 2: Convert to fraction form
    1,173.58/1,760.38 = 307.89/x
  3. Step 3: Cross multiply
    1,173.58x = 1,760.38 × 307.89
  4. Step 4: Simplify right side
    1,173.58x = 542,002.63
  5. Step 5: Solve for x
    x = 542,002.63/1,173.58
  6. Step 6: Final answer
    x = 461.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.