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Finding the Fourth Proportional to 902.91, 1,244.66 and 706.08

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Solution

The fourth proportional to 902.91, 1,244.66 and 706.08 is: 973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.91 : 1,244.66 = 706.08 : x
  2. Step 2: Convert to fraction form
    902.91/1,244.66 = 706.08/x
  3. Step 3: Cross multiply
    902.91x = 1,244.66 × 706.08
  4. Step 4: Simplify right side
    902.91x = 878,826.00
  5. Step 5: Solve for x
    x = 878,826.00/902.91
  6. Step 6: Final answer
    x = 973.33

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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.