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Finding the Fourth Proportional to 607.70, 827.93 and 607.70

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Solution

The fourth proportional to 607.70, 827.93 and 607.70 is: 827.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.70 : 827.93 = 607.70 : x
  2. Step 2: Convert to fraction form
    607.70/827.93 = 607.70/x
  3. Step 3: Cross multiply
    607.70x = 827.93 × 607.70
  4. Step 4: Simplify right side
    607.70x = 503,133.06
  5. Step 5: Solve for x
    x = 503,133.06/607.70
  6. Step 6: Final answer
    x = 827.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.