Home / 1,348.93-2,022.18-470.85

Finding the Fourth Proportional to 1,348.93, 2,022.18 and 470.85

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Solution

The fourth proportional to 1,348.93, 2,022.18 and 470.85 is: 705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.93 : 2,022.18 = 470.85 : x
  2. Step 2: Convert to fraction form
    1,348.93/2,022.18 = 470.85/x
  3. Step 3: Cross multiply
    1,348.93x = 2,022.18 × 470.85
  4. Step 4: Simplify right side
    1,348.93x = 952,143.45
  5. Step 5: Solve for x
    x = 952,143.45/1,348.93
  6. Step 6: Final answer
    x = 705.85

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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.