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Finding the Fourth Proportional to 1,120.65, 1,680.26 and 471.21

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Solution

The fourth proportional to 1,120.65, 1,680.26 and 471.21 is: 706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.65 : 1,680.26 = 471.21 : x
  2. Step 2: Convert to fraction form
    1,120.65/1,680.26 = 471.21/x
  3. Step 3: Cross multiply
    1,120.65x = 1,680.26 × 471.21
  4. Step 4: Simplify right side
    1,120.65x = 791,752.96
  5. Step 5: Solve for x
    x = 791,752.96/1,120.65
  6. Step 6: Final answer
    x = 706.51

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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.