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Finding the Fourth Proportional to 885.82, 1,222.46 and 492.88

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Solution

The fourth proportional to 885.82, 1,222.46 and 492.88 is: 680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.82 : 1,222.46 = 492.88 : x
  2. Step 2: Convert to fraction form
    885.82/1,222.46 = 492.88/x
  3. Step 3: Cross multiply
    885.82x = 1,222.46 × 492.88
  4. Step 4: Simplify right side
    885.82x = 602,526.08
  5. Step 5: Solve for x
    x = 602,526.08/885.82
  6. Step 6: Final answer
    x = 680.19

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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.