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Finding the Fourth Proportional to 681.83, 1,022.61 and 435.05

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Solution

The fourth proportional to 681.83, 1,022.61 and 435.05 is: 652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.83 : 1,022.61 = 435.05 : x
  2. Step 2: Convert to fraction form
    681.83/1,022.61 = 435.05/x
  3. Step 3: Cross multiply
    681.83x = 1,022.61 × 435.05
  4. Step 4: Simplify right side
    681.83x = 444,886.48
  5. Step 5: Solve for x
    x = 444,886.48/681.83
  6. Step 6: Final answer
    x = 652.49

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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.