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Finding the Fourth Proportional to 730.79, 1,007.97 and 706.68

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Solution

The fourth proportional to 730.79, 1,007.97 and 706.68 is: 974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.79 : 1,007.97 = 706.68 : x
  2. Step 2: Convert to fraction form
    730.79/1,007.97 = 706.68/x
  3. Step 3: Cross multiply
    730.79x = 1,007.97 × 706.68
  4. Step 4: Simplify right side
    730.79x = 712,312.24
  5. Step 5: Solve for x
    x = 712,312.24/730.79
  6. Step 6: Final answer
    x = 974.72

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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.