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Finding the Fourth Proportional to 864.76, 1,297.84 and 454

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Solution

The fourth proportional to 864.76, 1,297.84 and 454 is: 681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.76 : 1,297.84 = 454 : x
  2. Step 2: Convert to fraction form
    864.76/1,297.84 = 454/x
  3. Step 3: Cross multiply
    864.76x = 1,297.84 × 454
  4. Step 4: Simplify right side
    864.76x = 589,219.36
  5. Step 5: Solve for x
    x = 589,219.36/864.76
  6. Step 6: Final answer
    x = 681.37

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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.