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Finding the Fourth Proportional to 723.02, 992.96 and 606.38

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Solution

The fourth proportional to 723.02, 992.96 and 606.38 is: 832.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.02 : 992.96 = 606.38 : x
  2. Step 2: Convert to fraction form
    723.02/992.96 = 606.38/x
  3. Step 3: Cross multiply
    723.02x = 992.96 × 606.38
  4. Step 4: Simplify right side
    723.02x = 602,111.08
  5. Step 5: Solve for x
    x = 602,111.08/723.02
  6. Step 6: Final answer
    x = 832.77

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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.