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Finding the Fourth Proportional to 698.97, 1,048.43 and 435.50

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Solution

The fourth proportional to 698.97, 1,048.43 and 435.50 is: 653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.97 : 1,048.43 = 435.50 : x
  2. Step 2: Convert to fraction form
    698.97/1,048.43 = 435.50/x
  3. Step 3: Cross multiply
    698.97x = 1,048.43 × 435.50
  4. Step 4: Simplify right side
    698.97x = 456,583.85
  5. Step 5: Solve for x
    x = 456,583.85/698.97
  6. Step 6: Final answer
    x = 653.22

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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.