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Finding the Fourth Proportional to 1,409.85, 2,114.43 and 588.13

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Solution

The fourth proportional to 1,409.85, 2,114.43 and 588.13 is: 882.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.85 : 2,114.43 = 588.13 : x
  2. Step 2: Convert to fraction form
    1,409.85/2,114.43 = 588.13/x
  3. Step 3: Cross multiply
    1,409.85x = 2,114.43 × 588.13
  4. Step 4: Simplify right side
    1,409.85x = 1,243,559.72
  5. Step 5: Solve for x
    x = 1,243,559.72/1,409.85
  6. Step 6: Final answer
    x = 882.05

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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.