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Finding the Fourth Proportional to 724.79, 1,087.37 and 313.83

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Solution

The fourth proportional to 724.79, 1,087.37 and 313.83 is: 470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.79 : 1,087.37 = 313.83 : x
  2. Step 2: Convert to fraction form
    724.79/1,087.37 = 313.83/x
  3. Step 3: Cross multiply
    724.79x = 1,087.37 × 313.83
  4. Step 4: Simplify right side
    724.79x = 341,242.32
  5. Step 5: Solve for x
    x = 341,242.32/724.79
  6. Step 6: Final answer
    x = 470.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.