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Finding the Fourth Proportional to 785.52, 1,084.32 and 523.44

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Solution

The fourth proportional to 785.52, 1,084.32 and 523.44 is: 722.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.52 : 1,084.32 = 523.44 : x
  2. Step 2: Convert to fraction form
    785.52/1,084.32 = 523.44/x
  3. Step 3: Cross multiply
    785.52x = 1,084.32 × 523.44
  4. Step 4: Simplify right side
    785.52x = 567,576.46
  5. Step 5: Solve for x
    x = 567,576.46/785.52
  6. Step 6: Final answer
    x = 722.55

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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.