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Finding the Fourth Proportional to 1,390.31, 2,086.58 and 610.89

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Solution

The fourth proportional to 1,390.31, 2,086.58 and 610.89 is: 916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.31 : 2,086.58 = 610.89 : x
  2. Step 2: Convert to fraction form
    1,390.31/2,086.58 = 610.89/x
  3. Step 3: Cross multiply
    1,390.31x = 2,086.58 × 610.89
  4. Step 4: Simplify right side
    1,390.31x = 1,274,672.38
  5. Step 5: Solve for x
    x = 1,274,672.38/1,390.31
  6. Step 6: Final answer
    x = 916.82

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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.