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Finding the Fourth Proportional to 724.07, 998.37 and 507.93

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Solution

The fourth proportional to 724.07, 998.37 and 507.93 is: 700.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.07 : 998.37 = 507.93 : x
  2. Step 2: Convert to fraction form
    724.07/998.37 = 507.93/x
  3. Step 3: Cross multiply
    724.07x = 998.37 × 507.93
  4. Step 4: Simplify right side
    724.07x = 507,102.07
  5. Step 5: Solve for x
    x = 507,102.07/724.07
  6. Step 6: Final answer
    x = 700.35

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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.