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Finding the Fourth Proportional to 517.06, 711.51 and 503.44

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Solution

The fourth proportional to 517.06, 711.51 and 503.44 is: 692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.06 : 711.51 = 503.44 : x
  2. Step 2: Convert to fraction form
    517.06/711.51 = 503.44/x
  3. Step 3: Cross multiply
    517.06x = 711.51 × 503.44
  4. Step 4: Simplify right side
    517.06x = 358,202.59
  5. Step 5: Solve for x
    x = 358,202.59/517.06
  6. Step 6: Final answer
    x = 692.77

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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.