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Finding the Fourth Proportional to 1,756.33, 2,632.50 and 586.06

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Solution

The fourth proportional to 1,756.33, 2,632.50 and 586.06 is: 878.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.33 : 2,632.50 = 586.06 : x
  2. Step 2: Convert to fraction form
    1,756.33/2,632.50 = 586.06/x
  3. Step 3: Cross multiply
    1,756.33x = 2,632.50 × 586.06
  4. Step 4: Simplify right side
    1,756.33x = 1,542,793.44
  5. Step 5: Solve for x
    x = 1,542,793.44/1,756.33
  6. Step 6: Final answer
    x = 878.42

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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.