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Finding the Fourth Proportional to 1,202.81, 1,659.98 and 678.95

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Solution

The fourth proportional to 1,202.81, 1,659.98 and 678.95 is: 937.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.81 : 1,659.98 = 678.95 : x
  2. Step 2: Convert to fraction form
    1,202.81/1,659.98 = 678.95/x
  3. Step 3: Cross multiply
    1,202.81x = 1,659.98 × 678.95
  4. Step 4: Simplify right side
    1,202.81x = 1,127,043.42
  5. Step 5: Solve for x
    x = 1,127,043.42/1,202.81
  6. Step 6: Final answer
    x = 937.01

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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.