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Finding the Fourth Proportional to 837, 1,254.96 and 288.90

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Solution

The fourth proportional to 837, 1,254.96 and 288.90 is: 433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    837 : 1,254.96 = 288.90 : x
  2. Step 2: Convert to fraction form
    837/1,254.96 = 288.90/x
  3. Step 3: Cross multiply
    837x = 1,254.96 × 288.90
  4. Step 4: Simplify right side
    837x = 362,557.94
  5. Step 5: Solve for x
    x = 362,557.94/837
  6. Step 6: Final answer
    x = 433.16

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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.