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Finding the Fourth Proportional to 1,409.41, 2,114.29 and 588.24

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Solution

The fourth proportional to 1,409.41, 2,114.29 and 588.24 is: 882.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.41 : 2,114.29 = 588.24 : x
  2. Step 2: Convert to fraction form
    1,409.41/2,114.29 = 588.24/x
  3. Step 3: Cross multiply
    1,409.41x = 2,114.29 × 588.24
  4. Step 4: Simplify right side
    1,409.41x = 1,243,709.95
  5. Step 5: Solve for x
    x = 1,243,709.95/1,409.41
  6. Step 6: Final answer
    x = 882.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.