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Finding the Fourth Proportional to 1,202.83, 1,659.52 and 678.76

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Solution

The fourth proportional to 1,202.83, 1,659.52 and 678.76 is: 936.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.83 : 1,659.52 = 678.76 : x
  2. Step 2: Convert to fraction form
    1,202.83/1,659.52 = 678.76/x
  3. Step 3: Cross multiply
    1,202.83x = 1,659.52 × 678.76
  4. Step 4: Simplify right side
    1,202.83x = 1,126,412.49
  5. Step 5: Solve for x
    x = 1,126,412.49/1,202.83
  6. Step 6: Final answer
    x = 936.47

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1.5x scale

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.