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Finding the Fourth Proportional to 832.30, 1,148.57 and 459.30

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Solution

The fourth proportional to 832.30, 1,148.57 and 459.30 is: 633.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.30 : 1,148.57 = 459.30 : x
  2. Step 2: Convert to fraction form
    832.30/1,148.57 = 459.30/x
  3. Step 3: Cross multiply
    832.30x = 1,148.57 × 459.30
  4. Step 4: Simplify right side
    832.30x = 527,539.35
  5. Step 5: Solve for x
    x = 527,539.35/832.30
  6. Step 6: Final answer
    x = 633.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.