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Finding the Fourth Proportional to 1,052.57, 1,452.86 and 659.58

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Solution

The fourth proportional to 1,052.57, 1,452.86 and 659.58 is: 910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.57 : 1,452.86 = 659.58 : x
  2. Step 2: Convert to fraction form
    1,052.57/1,452.86 = 659.58/x
  3. Step 3: Cross multiply
    1,052.57x = 1,452.86 × 659.58
  4. Step 4: Simplify right side
    1,052.57x = 958,274.10
  5. Step 5: Solve for x
    x = 958,274.10/1,052.57
  6. Step 6: Final answer
    x = 910.42

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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.