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Finding the Fourth Proportional to 1,129.70, 1,694.36 and 307.86

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Solution

The fourth proportional to 1,129.70, 1,694.36 and 307.86 is: 461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.70 : 1,694.36 = 307.86 : x
  2. Step 2: Convert to fraction form
    1,129.70/1,694.36 = 307.86/x
  3. Step 3: Cross multiply
    1,129.70x = 1,694.36 × 307.86
  4. Step 4: Simplify right side
    1,129.70x = 521,625.67
  5. Step 5: Solve for x
    x = 521,625.67/1,129.70
  6. Step 6: Final answer
    x = 461.74

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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.