Home / 1,348.41-2,022.45-470.76

Finding the Fourth Proportional to 1,348.41, 2,022.45 and 470.76

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Solution

The fourth proportional to 1,348.41, 2,022.45 and 470.76 is: 706.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.41 : 2,022.45 = 470.76 : x
  2. Step 2: Convert to fraction form
    1,348.41/2,022.45 = 470.76/x
  3. Step 3: Cross multiply
    1,348.41x = 2,022.45 × 470.76
  4. Step 4: Simplify right side
    1,348.41x = 952,088.56
  5. Step 5: Solve for x
    x = 952,088.56/1,348.41
  6. Step 6: Final answer
    x = 706.08

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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.