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Finding the Fourth Proportional to 1,312.74, 1,967.76 and 825.12

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Solution

The fourth proportional to 1,312.74, 1,967.76 and 825.12 is: 1,236.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.74 : 1,967.76 = 825.12 : x
  2. Step 2: Convert to fraction form
    1,312.74/1,967.76 = 825.12/x
  3. Step 3: Cross multiply
    1,312.74x = 1,967.76 × 825.12
  4. Step 4: Simplify right side
    1,312.74x = 1,623,638.13
  5. Step 5: Solve for x
    x = 1,623,638.13/1,312.74
  6. Step 6: Final answer
    x = 1,236.83

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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.