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Finding the Fourth Proportional to 1,470.14, 2,205.21 and 648.42

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Solution

The fourth proportional to 1,470.14, 2,205.21 and 648.42 is: 972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.14 : 2,205.21 = 648.42 : x
  2. Step 2: Convert to fraction form
    1,470.14/2,205.21 = 648.42/x
  3. Step 3: Cross multiply
    1,470.14x = 2,205.21 × 648.42
  4. Step 4: Simplify right side
    1,470.14x = 1,429,902.27
  5. Step 5: Solve for x
    x = 1,429,902.27/1,470.14
  6. Step 6: Final answer
    x = 972.63

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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.