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Finding the Fourth Proportional to 1,153.61, 1,730.16 and 331.73

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Solution

The fourth proportional to 1,153.61, 1,730.16 and 331.73 is: 497.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.61 : 1,730.16 = 331.73 : x
  2. Step 2: Convert to fraction form
    1,153.61/1,730.16 = 331.73/x
  3. Step 3: Cross multiply
    1,153.61x = 1,730.16 × 331.73
  4. Step 4: Simplify right side
    1,153.61x = 573,937.33
  5. Step 5: Solve for x
    x = 573,937.33/1,153.61
  6. Step 6: Final answer
    x = 497.52

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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.