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Finding the Fourth Proportional to 1,141.07, 1,709.22 and 591.59

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Solution

The fourth proportional to 1,141.07, 1,709.22 and 591.59 is: 886.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.07 : 1,709.22 = 591.59 : x
  2. Step 2: Convert to fraction form
    1,141.07/1,709.22 = 591.59/x
  3. Step 3: Cross multiply
    1,141.07x = 1,709.22 × 591.59
  4. Step 4: Simplify right side
    1,141.07x = 1,011,157.46
  5. Step 5: Solve for x
    x = 1,011,157.46/1,141.07
  6. Step 6: Final answer
    x = 886.15

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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.