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Finding the Fourth Proportional to 1,128.74, 1,692.34 and 543.72

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Solution

The fourth proportional to 1,128.74, 1,692.34 and 543.72 is: 815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.74 : 1,692.34 = 543.72 : x
  2. Step 2: Convert to fraction form
    1,128.74/1,692.34 = 543.72/x
  3. Step 3: Cross multiply
    1,128.74x = 1,692.34 × 543.72
  4. Step 4: Simplify right side
    1,128.74x = 920,159.10
  5. Step 5: Solve for x
    x = 920,159.10/1,128.74
  6. Step 6: Final answer
    x = 815.21

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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.