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Finding the Fourth Proportional to 934.32, 1,400.57 and 523.05

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Solution

The fourth proportional to 934.32, 1,400.57 and 523.05 is: 784.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.32 : 1,400.57 = 523.05 : x
  2. Step 2: Convert to fraction form
    934.32/1,400.57 = 523.05/x
  3. Step 3: Cross multiply
    934.32x = 1,400.57 × 523.05
  4. Step 4: Simplify right side
    934.32x = 732,568.14
  5. Step 5: Solve for x
    x = 732,568.14/934.32
  6. Step 6: Final answer
    x = 784.07

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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.