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Finding the Fourth Proportional to 885.24, 1,221.65 and 492.25

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Solution

The fourth proportional to 885.24, 1,221.65 and 492.25 is: 679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.24 : 1,221.65 = 492.25 : x
  2. Step 2: Convert to fraction form
    885.24/1,221.65 = 492.25/x
  3. Step 3: Cross multiply
    885.24x = 1,221.65 × 492.25
  4. Step 4: Simplify right side
    885.24x = 601,357.21
  5. Step 5: Solve for x
    x = 601,357.21/885.24
  6. Step 6: Final answer
    x = 679.32

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Half scale
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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.