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Finding the Fourth Proportional to 1,052.75, 1,452.84 and 587

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Solution

The fourth proportional to 1,052.75, 1,452.84 and 587 is: 810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.75 : 1,452.84 = 587 : x
  2. Step 2: Convert to fraction form
    1,052.75/1,452.84 = 587/x
  3. Step 3: Cross multiply
    1,052.75x = 1,452.84 × 587
  4. Step 4: Simplify right side
    1,052.75x = 852,817.08
  5. Step 5: Solve for x
    x = 852,817.08/1,052.75
  6. Step 6: Final answer
    x = 810.09

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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.