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Finding the Fourth Proportional to 1,555.74, 2,334.33 and 775.71

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Solution

The fourth proportional to 1,555.74, 2,334.33 and 775.71 is: 1,163.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.74 : 2,334.33 = 775.71 : x
  2. Step 2: Convert to fraction form
    1,555.74/2,334.33 = 775.71/x
  3. Step 3: Cross multiply
    1,555.74x = 2,334.33 × 775.71
  4. Step 4: Simplify right side
    1,555.74x = 1,810,763.12
  5. Step 5: Solve for x
    x = 1,810,763.12/1,555.74
  6. Step 6: Final answer
    x = 1,163.92

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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.