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Finding the Fourth Proportional to 1,154.29, 1,731.44 and 374.26

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Solution

The fourth proportional to 1,154.29, 1,731.44 and 374.26 is: 561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.29 : 1,731.44 = 374.26 : x
  2. Step 2: Convert to fraction form
    1,154.29/1,731.44 = 374.26/x
  3. Step 3: Cross multiply
    1,154.29x = 1,731.44 × 374.26
  4. Step 4: Simplify right side
    1,154.29x = 648,008.73
  5. Step 5: Solve for x
    x = 648,008.73/1,154.29
  6. Step 6: Final answer
    x = 561.39

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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.