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Finding the Fourth Proportional to 1,202.02, 1,657.79 and 759.76

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Solution

The fourth proportional to 1,202.02, 1,657.79 and 759.76 is: 1,047.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.02 : 1,657.79 = 759.76 : x
  2. Step 2: Convert to fraction form
    1,202.02/1,657.79 = 759.76/x
  3. Step 3: Cross multiply
    1,202.02x = 1,657.79 × 759.76
  4. Step 4: Simplify right side
    1,202.02x = 1,259,522.53
  5. Step 5: Solve for x
    x = 1,259,522.53/1,202.02
  6. Step 6: Final answer
    x = 1,047.84

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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.