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Finding the Fourth Proportional to 1,128.85, 1,692.71 and 348.66

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Solution

The fourth proportional to 1,128.85, 1,692.71 and 348.66 is: 522.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.85 : 1,692.71 = 348.66 : x
  2. Step 2: Convert to fraction form
    1,128.85/1,692.71 = 348.66/x
  3. Step 3: Cross multiply
    1,128.85x = 1,692.71 × 348.66
  4. Step 4: Simplify right side
    1,128.85x = 590,180.27
  5. Step 5: Solve for x
    x = 590,180.27/1,128.85
  6. Step 6: Final answer
    x = 522.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.