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Finding the Fourth Proportional to 1,202.56, 1,659.78 and 705.46

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Solution

The fourth proportional to 1,202.56, 1,659.78 and 705.46 is: 973.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.56 : 1,659.78 = 705.46 : x
  2. Step 2: Convert to fraction form
    1,202.56/1,659.78 = 705.46/x
  3. Step 3: Cross multiply
    1,202.56x = 1,659.78 × 705.46
  4. Step 4: Simplify right side
    1,202.56x = 1,170,908.40
  5. Step 5: Solve for x
    x = 1,170,908.40/1,202.56
  6. Step 6: Final answer
    x = 973.68

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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.