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Finding the Fourth Proportional to 1,200.82, 1,657.14 and 703.78

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Solution

The fourth proportional to 1,200.82, 1,657.14 and 703.78 is: 971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.82 : 1,657.14 = 703.78 : x
  2. Step 2: Convert to fraction form
    1,200.82/1,657.14 = 703.78/x
  3. Step 3: Cross multiply
    1,200.82x = 1,657.14 × 703.78
  4. Step 4: Simplify right side
    1,200.82x = 1,166,261.99
  5. Step 5: Solve for x
    x = 1,166,261.99/1,200.82
  6. Step 6: Final answer
    x = 971.22

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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.