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Finding the Fourth Proportional to 1,202.85, 1,659.83 and 705.42

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Solution

The fourth proportional to 1,202.85, 1,659.83 and 705.42 is: 973.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.85 : 1,659.83 = 705.42 : x
  2. Step 2: Convert to fraction form
    1,202.85/1,659.83 = 705.42/x
  3. Step 3: Cross multiply
    1,202.85x = 1,659.83 × 705.42
  4. Step 4: Simplify right side
    1,202.85x = 1,170,877.28
  5. Step 5: Solve for x
    x = 1,170,877.28/1,202.85
  6. Step 6: Final answer
    x = 973.42

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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.