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Finding the Fourth Proportional to 1,142.85, 1,715.88 and 1,090.59

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Solution

The fourth proportional to 1,142.85, 1,715.88 and 1,090.59 is: 1,637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.85 : 1,715.88 = 1,090.59 : x
  2. Step 2: Convert to fraction form
    1,142.85/1,715.88 = 1,090.59/x
  3. Step 3: Cross multiply
    1,142.85x = 1,715.88 × 1,090.59
  4. Step 4: Simplify right side
    1,142.85x = 1,871,321.57
  5. Step 5: Solve for x
    x = 1,871,321.57/1,142.85
  6. Step 6: Final answer
    x = 1,637.42

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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.