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Finding the Fourth Proportional to 886.63, 1,330.08 and 523.75

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Solution

The fourth proportional to 886.63, 1,330.08 and 523.75 is: 785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.63 : 1,330.08 = 523.75 : x
  2. Step 2: Convert to fraction form
    886.63/1,330.08 = 523.75/x
  3. Step 3: Cross multiply
    886.63x = 1,330.08 × 523.75
  4. Step 4: Simplify right side
    886.63x = 696,629.40
  5. Step 5: Solve for x
    x = 696,629.40/886.63
  6. Step 6: Final answer
    x = 785.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.