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Finding the Fourth Proportional to 1,752.11, 2,627.85 and 582.00

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Solution

The fourth proportional to 1,752.11, 2,627.85 and 582.00 is: 872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.11 : 2,627.85 = 582.00 : x
  2. Step 2: Convert to fraction form
    1,752.11/2,627.85 = 582.00/x
  3. Step 3: Cross multiply
    1,752.11x = 2,627.85 × 582.00
  4. Step 4: Simplify right side
    1,752.11x = 1,529,401.03
  5. Step 5: Solve for x
    x = 1,529,401.03/1,752.11
  6. Step 6: Final answer
    x = 872.89

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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.