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Finding the Fourth Proportional to 1,555.20, 2,334.24 and 689.76

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Solution

The fourth proportional to 1,555.20, 2,334.24 and 689.76 is: 1,035.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.20 : 2,334.24 = 689.76 : x
  2. Step 2: Convert to fraction form
    1,555.20/2,334.24 = 689.76/x
  3. Step 3: Cross multiply
    1,555.20x = 2,334.24 × 689.76
  4. Step 4: Simplify right side
    1,555.20x = 1,610,065.38
  5. Step 5: Solve for x
    x = 1,610,065.38/1,555.20
  6. Step 6: Final answer
    x = 1,035.28

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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.