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Finding the Fourth Proportional to 606.93, 832.10 and 596.00

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Solution

The fourth proportional to 606.93, 832.10 and 596.00 is: 817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.93 : 832.10 = 596.00 : x
  2. Step 2: Convert to fraction form
    606.93/832.10 = 596.00/x
  3. Step 3: Cross multiply
    606.93x = 832.10 × 596.00
  4. Step 4: Simplify right side
    606.93x = 495,924.46
  5. Step 5: Solve for x
    x = 495,924.46/606.93
  6. Step 6: Final answer
    x = 817.10

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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.