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Finding the Fourth Proportional to 1,680.16, 2,520.28 and 584.56

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Solution

The fourth proportional to 1,680.16, 2,520.28 and 584.56 is: 876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.16 : 2,520.28 = 584.56 : x
  2. Step 2: Convert to fraction form
    1,680.16/2,520.28 = 584.56/x
  3. Step 3: Cross multiply
    1,680.16x = 2,520.28 × 584.56
  4. Step 4: Simplify right side
    1,680.16x = 1,473,254.88
  5. Step 5: Solve for x
    x = 1,473,254.88/1,680.16
  6. Step 6: Final answer
    x = 876.85

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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.