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Finding the Fourth Proportional to 884.54, 1,220.82 and 586.10

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Solution

The fourth proportional to 884.54, 1,220.82 and 586.10 is: 808.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.54 : 1,220.82 = 586.10 : x
  2. Step 2: Convert to fraction form
    884.54/1,220.82 = 586.10/x
  3. Step 3: Cross multiply
    884.54x = 1,220.82 × 586.10
  4. Step 4: Simplify right side
    884.54x = 715,522.60
  5. Step 5: Solve for x
    x = 715,522.60/884.54
  6. Step 6: Final answer
    x = 808.92

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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.