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Finding the Fourth Proportional to 1,135.85, 1,704.83 and 588.42

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Solution

The fourth proportional to 1,135.85, 1,704.83 and 588.42 is: 883.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.85 : 1,704.83 = 588.42 : x
  2. Step 2: Convert to fraction form
    1,135.85/1,704.83 = 588.42/x
  3. Step 3: Cross multiply
    1,135.85x = 1,704.83 × 588.42
  4. Step 4: Simplify right side
    1,135.85x = 1,003,153.13
  5. Step 5: Solve for x
    x = 1,003,153.13/1,135.85
  6. Step 6: Final answer
    x = 883.18

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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.