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Finding the Fourth Proportional to 1,470.65, 2,205.97 and 740.05

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Solution

The fourth proportional to 1,470.65, 2,205.97 and 740.05 is: 1,110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.65 : 2,205.97 = 740.05 : x
  2. Step 2: Convert to fraction form
    1,470.65/2,205.97 = 740.05/x
  3. Step 3: Cross multiply
    1,470.65x = 2,205.97 × 740.05
  4. Step 4: Simplify right side
    1,470.65x = 1,632,520.73
  5. Step 5: Solve for x
    x = 1,632,520.73/1,470.65
  6. Step 6: Final answer
    x = 1,110.07

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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.