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Finding the Fourth Proportional to 832.16, 1,249.01 and 421.59

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Solution

The fourth proportional to 832.16, 1,249.01 and 421.59 is: 632.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.16 : 1,249.01 = 421.59 : x
  2. Step 2: Convert to fraction form
    832.16/1,249.01 = 421.59/x
  3. Step 3: Cross multiply
    832.16x = 1,249.01 × 421.59
  4. Step 4: Simplify right side
    832.16x = 526,570.13
  5. Step 5: Solve for x
    x = 526,570.13/832.16
  6. Step 6: Final answer
    x = 632.77

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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.