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Finding the Fourth Proportional to 1,275.69, 1,913.49 and 626.25

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Solution

The fourth proportional to 1,275.69, 1,913.49 and 626.25 is: 939.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.69 : 1,913.49 = 626.25 : x
  2. Step 2: Convert to fraction form
    1,275.69/1,913.49 = 626.25/x
  3. Step 3: Cross multiply
    1,275.69x = 1,913.49 × 626.25
  4. Step 4: Simplify right side
    1,275.69x = 1,198,323.11
  5. Step 5: Solve for x
    x = 1,198,323.11/1,275.69
  6. Step 6: Final answer
    x = 939.35

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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.