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Finding the Fourth Proportional to 839.20, 1,159 and 654.88

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Solution

The fourth proportional to 839.20, 1,159 and 654.88 is: 904.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.20 : 1,159 = 654.88 : x
  2. Step 2: Convert to fraction form
    839.20/1,159 = 654.88/x
  3. Step 3: Cross multiply
    839.20x = 1,159 × 654.88
  4. Step 4: Simplify right side
    839.20x = 759,005.92
  5. Step 5: Solve for x
    x = 759,005.92/839.20
  6. Step 6: Final answer
    x = 904.44

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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.