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Finding the Fourth Proportional to 1,159.20, 1,538.28 and 1,159.20

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Solution

The fourth proportional to 1,159.20, 1,538.28 and 1,159.20 is: 1,538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.20 : 1,538.28 = 1,159.20 : x
  2. Step 2: Convert to fraction form
    1,159.20/1,538.28 = 1,159.20/x
  3. Step 3: Cross multiply
    1,159.20x = 1,538.28 × 1,159.20
  4. Step 4: Simplify right side
    1,159.20x = 1,783,174.18
  5. Step 5: Solve for x
    x = 1,783,174.18/1,159.20
  6. Step 6: Final answer
    x = 1,538.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.