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Finding the Fourth Proportional to 1,120.25, 1,680.40 and 470.99

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Solution

The fourth proportional to 1,120.25, 1,680.40 and 470.99 is: 706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.25 : 1,680.40 = 470.99 : x
  2. Step 2: Convert to fraction form
    1,120.25/1,680.40 = 470.99/x
  3. Step 3: Cross multiply
    1,120.25x = 1,680.40 × 470.99
  4. Step 4: Simplify right side
    1,120.25x = 791,451.60
  5. Step 5: Solve for x
    x = 791,451.60/1,120.25
  6. Step 6: Final answer
    x = 706.50

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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.