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Finding the Fourth Proportional to 698.98, 1,048.92 and 643.36

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Solution

The fourth proportional to 698.98, 1,048.92 and 643.36 is: 965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.98 : 1,048.92 = 643.36 : x
  2. Step 2: Convert to fraction form
    698.98/1,048.92 = 643.36/x
  3. Step 3: Cross multiply
    698.98x = 1,048.92 × 643.36
  4. Step 4: Simplify right side
    698.98x = 674,833.17
  5. Step 5: Solve for x
    x = 674,833.17/698.98
  6. Step 6: Final answer
    x = 965.45

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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.