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Finding the Fourth Proportional to 886.08, 1,222.75 and 493.10

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Solution

The fourth proportional to 886.08, 1,222.75 and 493.10 is: 680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.08 : 1,222.75 = 493.10 : x
  2. Step 2: Convert to fraction form
    886.08/1,222.75 = 493.10/x
  3. Step 3: Cross multiply
    886.08x = 1,222.75 × 493.10
  4. Step 4: Simplify right side
    886.08x = 602,938.03
  5. Step 5: Solve for x
    x = 602,938.03/886.08
  6. Step 6: Final answer
    x = 680.46

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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.