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Finding the Fourth Proportional to 836.54, 1,254.80 and 259.40

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Solution

The fourth proportional to 836.54, 1,254.80 and 259.40 is: 389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.54 : 1,254.80 = 259.40 : x
  2. Step 2: Convert to fraction form
    836.54/1,254.80 = 259.40/x
  3. Step 3: Cross multiply
    836.54x = 1,254.80 × 259.40
  4. Step 4: Simplify right side
    836.54x = 325,495.12
  5. Step 5: Solve for x
    x = 325,495.12/836.54
  6. Step 6: Final answer
    x = 389.10

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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.