Home / 1,470.06-2,205.36-821.52

Finding the Fourth Proportional to 1,470.06, 2,205.36 and 821.52

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Solution

The fourth proportional to 1,470.06, 2,205.36 and 821.52 is: 1,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.06 : 2,205.36 = 821.52 : x
  2. Step 2: Convert to fraction form
    1,470.06/2,205.36 = 821.52/x
  3. Step 3: Cross multiply
    1,470.06x = 2,205.36 × 821.52
  4. Step 4: Simplify right side
    1,470.06x = 1,811,747.35
  5. Step 5: Solve for x
    x = 1,811,747.35/1,470.06
  6. Step 6: Final answer
    x = 1,232.43

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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.