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Finding the Fourth Proportional to 832.25, 1,247.06 and 557.33

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Solution

The fourth proportional to 832.25, 1,247.06 and 557.33 is: 835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.25 : 1,247.06 = 557.33 : x
  2. Step 2: Convert to fraction form
    832.25/1,247.06 = 557.33/x
  3. Step 3: Cross multiply
    832.25x = 1,247.06 × 557.33
  4. Step 4: Simplify right side
    832.25x = 695,021.16
  5. Step 5: Solve for x
    x = 695,021.16/832.25
  6. Step 6: Final answer
    x = 835.11

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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.