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Finding the Fourth Proportional to 864.79, 1,297.18 and 518.23

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Solution

The fourth proportional to 864.79, 1,297.18 and 518.23 is: 777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.79 : 1,297.18 = 518.23 : x
  2. Step 2: Convert to fraction form
    864.79/1,297.18 = 518.23/x
  3. Step 3: Cross multiply
    864.79x = 1,297.18 × 518.23
  4. Step 4: Simplify right side
    864.79x = 672,228.51
  5. Step 5: Solve for x
    x = 672,228.51/864.79
  6. Step 6: Final answer
    x = 777.34

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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.