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Finding the Fourth Proportional to 692.68, 956.46 and 661.36

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Solution

The fourth proportional to 692.68, 956.46 and 661.36 is: 913.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.68 : 956.46 = 661.36 : x
  2. Step 2: Convert to fraction form
    692.68/956.46 = 661.36/x
  3. Step 3: Cross multiply
    692.68x = 956.46 × 661.36
  4. Step 4: Simplify right side
    692.68x = 632,564.39
  5. Step 5: Solve for x
    x = 632,564.39/692.68
  6. Step 6: Final answer
    x = 913.21

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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.