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Finding the Fourth Proportional to 602.71, 902.77 and 536.99

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Solution

The fourth proportional to 602.71, 902.77 and 536.99 is: 804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.71 : 902.77 = 536.99 : x
  2. Step 2: Convert to fraction form
    602.71/902.77 = 536.99/x
  3. Step 3: Cross multiply
    602.71x = 902.77 × 536.99
  4. Step 4: Simplify right side
    602.71x = 484,772.61
  5. Step 5: Solve for x
    x = 484,772.61/602.71
  6. Step 6: Final answer
    x = 804.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.