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Finding the Fourth Proportional to 1,128.57, 1,692.06 and 434.65

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Solution

The fourth proportional to 1,128.57, 1,692.06 and 434.65 is: 651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.57 : 1,692.06 = 434.65 : x
  2. Step 2: Convert to fraction form
    1,128.57/1,692.06 = 434.65/x
  3. Step 3: Cross multiply
    1,128.57x = 1,692.06 × 434.65
  4. Step 4: Simplify right side
    1,128.57x = 735,453.88
  5. Step 5: Solve for x
    x = 735,453.88/1,128.57
  6. Step 6: Final answer
    x = 651.67

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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.