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Finding the Fourth Proportional to 559.03, 836.52 and 456.07

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Solution

The fourth proportional to 559.03, 836.52 and 456.07 is: 682.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.03 : 836.52 = 456.07 : x
  2. Step 2: Convert to fraction form
    559.03/836.52 = 456.07/x
  3. Step 3: Cross multiply
    559.03x = 836.52 × 456.07
  4. Step 4: Simplify right side
    559.03x = 381,511.68
  5. Step 5: Solve for x
    x = 381,511.68/559.03
  6. Step 6: Final answer
    x = 682.45

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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.