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Finding the Fourth Proportional to 934.34, 1,400.84 and 523.22

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Solution

The fourth proportional to 934.34, 1,400.84 and 523.22 is: 784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.34 : 1,400.84 = 523.22 : x
  2. Step 2: Convert to fraction form
    934.34/1,400.84 = 523.22/x
  3. Step 3: Cross multiply
    934.34x = 1,400.84 × 523.22
  4. Step 4: Simplify right side
    934.34x = 732,947.50
  5. Step 5: Solve for x
    x = 732,947.50/934.34
  6. Step 6: Final answer
    x = 784.45

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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.