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Finding the Fourth Proportional to 692.59, 955.13 and 515.99

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Solution

The fourth proportional to 692.59, 955.13 and 515.99 is: 711.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.59 : 955.13 = 515.99 : x
  2. Step 2: Convert to fraction form
    692.59/955.13 = 515.99/x
  3. Step 3: Cross multiply
    692.59x = 955.13 × 515.99
  4. Step 4: Simplify right side
    692.59x = 492,834.04
  5. Step 5: Solve for x
    x = 492,834.04/692.59
  6. Step 6: Final answer
    x = 711.58

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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.