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Finding the Fourth Proportional to 868.16, 1,304.72 and 835.84

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Solution

The fourth proportional to 868.16, 1,304.72 and 835.84 is: 1,256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.16 : 1,304.72 = 835.84 : x
  2. Step 2: Convert to fraction form
    868.16/1,304.72 = 835.84/x
  3. Step 3: Cross multiply
    868.16x = 1,304.72 × 835.84
  4. Step 4: Simplify right side
    868.16x = 1,090,537.16
  5. Step 5: Solve for x
    x = 1,090,537.16/868.16
  6. Step 6: Final answer
    x = 1,256.15

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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.