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Finding the Fourth Proportional to 864.72, 1,297.78 and 454.10

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Solution

The fourth proportional to 864.72, 1,297.78 and 454.10 is: 681.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.72 : 1,297.78 = 454.10 : x
  2. Step 2: Convert to fraction form
    864.72/1,297.78 = 454.10/x
  3. Step 3: Cross multiply
    864.72x = 1,297.78 × 454.10
  4. Step 4: Simplify right side
    864.72x = 589,324.01
  5. Step 5: Solve for x
    x = 589,324.01/864.72
  6. Step 6: Final answer
    x = 681.52

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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.