Home / 1,348.50-2,022.34-470.76

Finding the Fourth Proportional to 1,348.50, 2,022.34 and 470.76

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Solution

The fourth proportional to 1,348.50, 2,022.34 and 470.76 is: 706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.50 : 2,022.34 = 470.76 : x
  2. Step 2: Convert to fraction form
    1,348.50/2,022.34 = 470.76/x
  3. Step 3: Cross multiply
    1,348.50x = 2,022.34 × 470.76
  4. Step 4: Simplify right side
    1,348.50x = 952,036.78
  5. Step 5: Solve for x
    x = 952,036.78/1,348.50
  6. Step 6: Final answer
    x = 706.00

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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.