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Finding the Fourth Proportional to 607.67, 836.70 and 509.21

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Solution

The fourth proportional to 607.67, 836.70 and 509.21 is: 701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.67 : 836.70 = 509.21 : x
  2. Step 2: Convert to fraction form
    607.67/836.70 = 509.21/x
  3. Step 3: Cross multiply
    607.67x = 836.70 × 509.21
  4. Step 4: Simplify right side
    607.67x = 426,056.01
  5. Step 5: Solve for x
    x = 426,056.01/607.67
  6. Step 6: Final answer
    x = 701.13

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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.