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Finding the Fourth Proportional to 1,225.12, 1,689.08 and 1,026

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Solution

The fourth proportional to 1,225.12, 1,689.08 and 1,026 is: 1,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.12 : 1,689.08 = 1,026 : x
  2. Step 2: Convert to fraction form
    1,225.12/1,689.08 = 1,026/x
  3. Step 3: Cross multiply
    1,225.12x = 1,689.08 × 1,026
  4. Step 4: Simplify right side
    1,225.12x = 1,732,996.08
  5. Step 5: Solve for x
    x = 1,732,996.08/1,225.12
  6. Step 6: Final answer
    x = 1,414.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.