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Finding the Fourth Proportional to 624.68, 855.81 and 601.32

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Solution

The fourth proportional to 624.68, 855.81 and 601.32 is: 823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.68 : 855.81 = 601.32 : x
  2. Step 2: Convert to fraction form
    624.68/855.81 = 601.32/x
  3. Step 3: Cross multiply
    624.68x = 855.81 × 601.32
  4. Step 4: Simplify right side
    624.68x = 514,614.06
  5. Step 5: Solve for x
    x = 514,614.06/624.68
  6. Step 6: Final answer
    x = 823.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.