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Finding the Fourth Proportional to 1,553.95, 2,330.89 and 731.77

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Solution

The fourth proportional to 1,553.95, 2,330.89 and 731.77 is: 1,097.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.95 : 2,330.89 = 731.77 : x
  2. Step 2: Convert to fraction form
    1,553.95/2,330.89 = 731.77/x
  3. Step 3: Cross multiply
    1,553.95x = 2,330.89 × 731.77
  4. Step 4: Simplify right side
    1,553.95x = 1,705,675.38
  5. Step 5: Solve for x
    x = 1,705,675.38/1,553.95
  6. Step 6: Final answer
    x = 1,097.64

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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.