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Finding the Fourth Proportional to 907.14, 1,252.40 and 696.90

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Solution

The fourth proportional to 907.14, 1,252.40 and 696.90 is: 962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.14 : 1,252.40 = 696.90 : x
  2. Step 2: Convert to fraction form
    907.14/1,252.40 = 696.90/x
  3. Step 3: Cross multiply
    907.14x = 1,252.40 × 696.90
  4. Step 4: Simplify right side
    907.14x = 872,797.56
  5. Step 5: Solve for x
    x = 872,797.56/907.14
  6. Step 6: Final answer
    x = 962.14

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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.