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Finding the Fourth Proportional to 1,042.41, 1,563.81 and 465.28

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Solution

The fourth proportional to 1,042.41, 1,563.81 and 465.28 is: 698.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.41 : 1,563.81 = 465.28 : x
  2. Step 2: Convert to fraction form
    1,042.41/1,563.81 = 465.28/x
  3. Step 3: Cross multiply
    1,042.41x = 1,563.81 × 465.28
  4. Step 4: Simplify right side
    1,042.41x = 727,613.22
  5. Step 5: Solve for x
    x = 727,613.22/1,042.41
  6. Step 6: Final answer
    x = 698.01

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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.