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Finding the Fourth Proportional to 712.76, 983.62 and 402.26

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Solution

The fourth proportional to 712.76, 983.62 and 402.26 is: 555.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.76 : 983.62 = 402.26 : x
  2. Step 2: Convert to fraction form
    712.76/983.62 = 402.26/x
  3. Step 3: Cross multiply
    712.76x = 983.62 × 402.26
  4. Step 4: Simplify right side
    712.76x = 395,670.98
  5. Step 5: Solve for x
    x = 395,670.98/712.76
  6. Step 6: Final answer
    x = 555.13

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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.