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Finding the Fourth Proportional to 836.12, 1,254.13 and 288.31

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Solution

The fourth proportional to 836.12, 1,254.13 and 288.31 is: 432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.12 : 1,254.13 = 288.31 : x
  2. Step 2: Convert to fraction form
    836.12/1,254.13 = 288.31/x
  3. Step 3: Cross multiply
    836.12x = 1,254.13 × 288.31
  4. Step 4: Simplify right side
    836.12x = 361,574.36
  5. Step 5: Solve for x
    x = 361,574.36/836.12
  6. Step 6: Final answer
    x = 432.45

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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.