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Finding the Fourth Proportional to 692.83, 1,033.16 and 686.68

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Solution

The fourth proportional to 692.83, 1,033.16 and 686.68 is: 1,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.83 : 1,033.16 = 686.68 : x
  2. Step 2: Convert to fraction form
    692.83/1,033.16 = 686.68/x
  3. Step 3: Cross multiply
    692.83x = 1,033.16 × 686.68
  4. Step 4: Simplify right side
    692.83x = 709,444.29
  5. Step 5: Solve for x
    x = 709,444.29/692.83
  6. Step 6: Final answer
    x = 1,023.98

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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.