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Finding the Fourth Proportional to 832.05, 1,247.58 and 284.22

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Solution

The fourth proportional to 832.05, 1,247.58 and 284.22 is: 426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.05 : 1,247.58 = 284.22 : x
  2. Step 2: Convert to fraction form
    832.05/1,247.58 = 284.22/x
  3. Step 3: Cross multiply
    832.05x = 1,247.58 × 284.22
  4. Step 4: Simplify right side
    832.05x = 354,587.19
  5. Step 5: Solve for x
    x = 354,587.19/832.05
  6. Step 6: Final answer
    x = 426.16

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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.