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Finding the Fourth Proportional to 884.94, 1,221.12 and 491.88

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Solution

The fourth proportional to 884.94, 1,221.12 and 491.88 is: 678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.94 : 1,221.12 = 491.88 : x
  2. Step 2: Convert to fraction form
    884.94/1,221.12 = 491.88/x
  3. Step 3: Cross multiply
    884.94x = 1,221.12 × 491.88
  4. Step 4: Simplify right side
    884.94x = 600,644.51
  5. Step 5: Solve for x
    x = 600,644.51/884.94
  6. Step 6: Final answer
    x = 678.74

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Double scale
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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.