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Finding the Fourth Proportional to 864.51, 1,191.90 and 706.97

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Solution

The fourth proportional to 864.51, 1,191.90 and 706.97 is: 974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.51 : 1,191.90 = 706.97 : x
  2. Step 2: Convert to fraction form
    864.51/1,191.90 = 706.97/x
  3. Step 3: Cross multiply
    864.51x = 1,191.90 × 706.97
  4. Step 4: Simplify right side
    864.51x = 842,631.58
  5. Step 5: Solve for x
    x = 842,631.58/864.51
  6. Step 6: Final answer
    x = 974.69

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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.