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Finding the Fourth Proportional to 692.56, 1,032.80 and 654.22

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Solution

The fourth proportional to 692.56, 1,032.80 and 654.22 is: 975.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.56 : 1,032.80 = 654.22 : x
  2. Step 2: Convert to fraction form
    692.56/1,032.80 = 654.22/x
  3. Step 3: Cross multiply
    692.56x = 1,032.80 × 654.22
  4. Step 4: Simplify right side
    692.56x = 675,678.42
  5. Step 5: Solve for x
    x = 675,678.42/692.56
  6. Step 6: Final answer
    x = 975.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.