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Finding the Fourth Proportional to 1,128.56, 1,692.78 and 359

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Solution

The fourth proportional to 1,128.56, 1,692.78 and 359 is: 538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.56 : 1,692.78 = 359 : x
  2. Step 2: Convert to fraction form
    1,128.56/1,692.78 = 359/x
  3. Step 3: Cross multiply
    1,128.56x = 1,692.78 × 359
  4. Step 4: Simplify right side
    1,128.56x = 607,708.02
  5. Step 5: Solve for x
    x = 607,708.02/1,128.56
  6. Step 6: Final answer
    x = 538.48

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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.