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Finding the Fourth Proportional to 1,470.53, 2,205.81 and 648.63

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Solution

The fourth proportional to 1,470.53, 2,205.81 and 648.63 is: 972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.53 : 2,205.81 = 648.63 : x
  2. Step 2: Convert to fraction form
    1,470.53/2,205.81 = 648.63/x
  3. Step 3: Cross multiply
    1,470.53x = 2,205.81 × 648.63
  4. Step 4: Simplify right side
    1,470.53x = 1,430,754.54
  5. Step 5: Solve for x
    x = 1,430,754.54/1,470.53
  6. Step 6: Final answer
    x = 972.95

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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.