Home / 1,470.14-2,205.52-495.98

Finding the Fourth Proportional to 1,470.14, 2,205.52 and 495.98

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Solution

The fourth proportional to 1,470.14, 2,205.52 and 495.98 is: 744.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.14 : 2,205.52 = 495.98 : x
  2. Step 2: Convert to fraction form
    1,470.14/2,205.52 = 495.98/x
  3. Step 3: Cross multiply
    1,470.14x = 2,205.52 × 495.98
  4. Step 4: Simplify right side
    1,470.14x = 1,093,893.81
  5. Step 5: Solve for x
    x = 1,093,893.81/1,470.14
  6. Step 6: Final answer
    x = 744.07

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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.