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Finding the Fourth Proportional to 1,111.98, 1,667.23 and 591.65

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Solution

The fourth proportional to 1,111.98, 1,667.23 and 591.65 is: 887.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.98 : 1,667.23 = 591.65 : x
  2. Step 2: Convert to fraction form
    1,111.98/1,667.23 = 591.65/x
  3. Step 3: Cross multiply
    1,111.98x = 1,667.23 × 591.65
  4. Step 4: Simplify right side
    1,111.98x = 986,425.77
  5. Step 5: Solve for x
    x = 986,425.77/1,111.98
  6. Step 6: Final answer
    x = 887.09

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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.