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Finding the Fourth Proportional to 1,052.43, 1,452.31 and 659.67

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Solution

The fourth proportional to 1,052.43, 1,452.31 and 659.67 is: 910.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.43 : 1,452.31 = 659.67 : x
  2. Step 2: Convert to fraction form
    1,052.43/1,452.31 = 659.67/x
  3. Step 3: Cross multiply
    1,052.43x = 1,452.31 × 659.67
  4. Step 4: Simplify right side
    1,052.43x = 958,045.34
  5. Step 5: Solve for x
    x = 958,045.34/1,052.43
  6. Step 6: Final answer
    x = 910.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.