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Finding the Fourth Proportional to 729.18, 1,004.94 and 708.12

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Solution

The fourth proportional to 729.18, 1,004.94 and 708.12 is: 975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.18 : 1,004.94 = 708.12 : x
  2. Step 2: Convert to fraction form
    729.18/1,004.94 = 708.12/x
  3. Step 3: Cross multiply
    729.18x = 1,004.94 × 708.12
  4. Step 4: Simplify right side
    729.18x = 711,618.11
  5. Step 5: Solve for x
    x = 711,618.11/729.18
  6. Step 6: Final answer
    x = 975.92

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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.