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Finding the Fourth Proportional to 698.90, 965.32 and 553.46

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Solution

The fourth proportional to 698.90, 965.32 and 553.46 is: 764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.90 : 965.32 = 553.46 : x
  2. Step 2: Convert to fraction form
    698.90/965.32 = 553.46/x
  3. Step 3: Cross multiply
    698.90x = 965.32 × 553.46
  4. Step 4: Simplify right side
    698.90x = 534,259.80
  5. Step 5: Solve for x
    x = 534,259.80/698.90
  6. Step 6: Final answer
    x = 764.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.