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Finding the Fourth Proportional to 607.80, 836.92 and 509.38

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Solution

The fourth proportional to 607.80, 836.92 and 509.38 is: 701.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.80 : 836.92 = 509.38 : x
  2. Step 2: Convert to fraction form
    607.80/836.92 = 509.38/x
  3. Step 3: Cross multiply
    607.80x = 836.92 × 509.38
  4. Step 4: Simplify right side
    607.80x = 426,309.04
  5. Step 5: Solve for x
    x = 426,309.04/607.80
  6. Step 6: Final answer
    x = 701.40

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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.