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Finding the Fourth Proportional to 864.90, 1,297.32 and 287.76

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Solution

The fourth proportional to 864.90, 1,297.32 and 287.76 is: 431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.90 : 1,297.32 = 287.76 : x
  2. Step 2: Convert to fraction form
    864.90/1,297.32 = 287.76/x
  3. Step 3: Cross multiply
    864.90x = 1,297.32 × 287.76
  4. Step 4: Simplify right side
    864.90x = 373,316.80
  5. Step 5: Solve for x
    x = 373,316.80/864.90
  6. Step 6: Final answer
    x = 431.63

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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.