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Finding the Fourth Proportional to 723.51, 998.10 and 623.76

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Solution

The fourth proportional to 723.51, 998.10 and 623.76 is: 860.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.51 : 998.10 = 623.76 : x
  2. Step 2: Convert to fraction form
    723.51/998.10 = 623.76/x
  3. Step 3: Cross multiply
    723.51x = 998.10 × 623.76
  4. Step 4: Simplify right side
    723.51x = 622,574.86
  5. Step 5: Solve for x
    x = 622,574.86/723.51
  6. Step 6: Final answer
    x = 860.49

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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.