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Finding the Fourth Proportional to 1,342.67, 2,014.55 and 591.79

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Solution

The fourth proportional to 1,342.67, 2,014.55 and 591.79 is: 887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.67 : 2,014.55 = 591.79 : x
  2. Step 2: Convert to fraction form
    1,342.67/2,014.55 = 591.79/x
  3. Step 3: Cross multiply
    1,342.67x = 2,014.55 × 591.79
  4. Step 4: Simplify right side
    1,342.67x = 1,192,186.88
  5. Step 5: Solve for x
    x = 1,192,186.88/1,342.67
  6. Step 6: Final answer
    x = 887.92

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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.