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Finding the Fourth Proportional to 1,409.15, 2,112.57 and 588.03

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Solution

The fourth proportional to 1,409.15, 2,112.57 and 588.03 is: 881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.15 : 2,112.57 = 588.03 : x
  2. Step 2: Convert to fraction form
    1,409.15/2,112.57 = 588.03/x
  3. Step 3: Cross multiply
    1,409.15x = 2,112.57 × 588.03
  4. Step 4: Simplify right side
    1,409.15x = 1,242,254.54
  5. Step 5: Solve for x
    x = 1,242,254.54/1,409.15
  6. Step 6: Final answer
    x = 881.57

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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.