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Finding the Fourth Proportional to 1,274.10, 1,909.91 and 696.57

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Solution

The fourth proportional to 1,274.10, 1,909.91 and 696.57 is: 1,044.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.10 : 1,909.91 = 696.57 : x
  2. Step 2: Convert to fraction form
    1,274.10/1,909.91 = 696.57/x
  3. Step 3: Cross multiply
    1,274.10x = 1,909.91 × 696.57
  4. Step 4: Simplify right side
    1,274.10x = 1,330,376.46
  5. Step 5: Solve for x
    x = 1,330,376.46/1,274.10
  6. Step 6: Final answer
    x = 1,044.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.