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Finding the Fourth Proportional to 836.62, 1,254.88 and 288.80

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Solution

The fourth proportional to 836.62, 1,254.88 and 288.80 is: 433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.62 : 1,254.88 = 288.80 : x
  2. Step 2: Convert to fraction form
    836.62/1,254.88 = 288.80/x
  3. Step 3: Cross multiply
    836.62x = 1,254.88 × 288.80
  4. Step 4: Simplify right side
    836.62x = 362,409.34
  5. Step 5: Solve for x
    x = 362,409.34/836.62
  6. Step 6: Final answer
    x = 433.18

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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.