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Finding the Fourth Proportional to 1,415.96, 2,123.88 and 550.46

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Solution

The fourth proportional to 1,415.96, 2,123.88 and 550.46 is: 825.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.96 : 2,123.88 = 550.46 : x
  2. Step 2: Convert to fraction form
    1,415.96/2,123.88 = 550.46/x
  3. Step 3: Cross multiply
    1,415.96x = 2,123.88 × 550.46
  4. Step 4: Simplify right side
    1,415.96x = 1,169,110.98
  5. Step 5: Solve for x
    x = 1,169,110.98/1,415.96
  6. Step 6: Final answer
    x = 825.67

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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.