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Finding the Fourth Proportional to 1,369.42, 2,052.18 and 588.34

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Solution

The fourth proportional to 1,369.42, 2,052.18 and 588.34 is: 881.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.42 : 2,052.18 = 588.34 : x
  2. Step 2: Convert to fraction form
    1,369.42/2,052.18 = 588.34/x
  3. Step 3: Cross multiply
    1,369.42x = 2,052.18 × 588.34
  4. Step 4: Simplify right side
    1,369.42x = 1,207,379.58
  5. Step 5: Solve for x
    x = 1,207,379.58/1,369.42
  6. Step 6: Final answer
    x = 881.67

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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.