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Finding the Fourth Proportional to 724.65, 1,082.75 and 556.98

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Solution

The fourth proportional to 724.65, 1,082.75 and 556.98 is: 832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.65 : 1,082.75 = 556.98 : x
  2. Step 2: Convert to fraction form
    724.65/1,082.75 = 556.98/x
  3. Step 3: Cross multiply
    724.65x = 1,082.75 × 556.98
  4. Step 4: Simplify right side
    724.65x = 603,070.10
  5. Step 5: Solve for x
    x = 603,070.10/724.65
  6. Step 6: Final answer
    x = 832.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.