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Finding the Fourth Proportional to 614.09, 847.62 and 503.83

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Solution

The fourth proportional to 614.09, 847.62 and 503.83 is: 695.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.09 : 847.62 = 503.83 : x
  2. Step 2: Convert to fraction form
    614.09/847.62 = 503.83/x
  3. Step 3: Cross multiply
    614.09x = 847.62 × 503.83
  4. Step 4: Simplify right side
    614.09x = 427,049.63
  5. Step 5: Solve for x
    x = 427,049.63/614.09
  6. Step 6: Final answer
    x = 695.42

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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.