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Finding the Fourth Proportional to 1,470.87, 2,205.75 and 483.48

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Solution

The fourth proportional to 1,470.87, 2,205.75 and 483.48 is: 725.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.87 : 2,205.75 = 483.48 : x
  2. Step 2: Convert to fraction form
    1,470.87/2,205.75 = 483.48/x
  3. Step 3: Cross multiply
    1,470.87x = 2,205.75 × 483.48
  4. Step 4: Simplify right side
    1,470.87x = 1,066,436.01
  5. Step 5: Solve for x
    x = 1,066,436.01/1,470.87
  6. Step 6: Final answer
    x = 725.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.