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Finding the Fourth Proportional to 1,202.84, 1,659.93 and 678.91

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Solution

The fourth proportional to 1,202.84, 1,659.93 and 678.91 is: 936.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.84 : 1,659.93 = 678.91 : x
  2. Step 2: Convert to fraction form
    1,202.84/1,659.93 = 678.91/x
  3. Step 3: Cross multiply
    1,202.84x = 1,659.93 × 678.91
  4. Step 4: Simplify right side
    1,202.84x = 1,126,931.38
  5. Step 5: Solve for x
    x = 1,126,931.38/1,202.84
  6. Step 6: Final answer
    x = 936.89

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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.