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Finding the Fourth Proportional to 951, 1,313.58 and 729.46

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Solution

The fourth proportional to 951, 1,313.58 and 729.46 is: 1,007.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    951 : 1,313.58 = 729.46 : x
  2. Step 2: Convert to fraction form
    951/1,313.58 = 729.46/x
  3. Step 3: Cross multiply
    951x = 1,313.58 × 729.46
  4. Step 4: Simplify right side
    951x = 958,204.07
  5. Step 5: Solve for x
    x = 958,204.07/951
  6. Step 6: Final answer
    x = 1,007.58

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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.