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Finding the Fourth Proportional to 907.26, 1,251.63 and 709.98

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Solution

The fourth proportional to 907.26, 1,251.63 and 709.98 is: 979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.26 : 1,251.63 = 709.98 : x
  2. Step 2: Convert to fraction form
    907.26/1,251.63 = 709.98/x
  3. Step 3: Cross multiply
    907.26x = 1,251.63 × 709.98
  4. Step 4: Simplify right side
    907.26x = 888,632.27
  5. Step 5: Solve for x
    x = 888,632.27/907.26
  6. Step 6: Final answer
    x = 979.47

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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.