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Finding the Fourth Proportional to 901.29, 1,351.36 and 706.30

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Solution

The fourth proportional to 901.29, 1,351.36 and 706.30 is: 1,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.29 : 1,351.36 = 706.30 : x
  2. Step 2: Convert to fraction form
    901.29/1,351.36 = 706.30/x
  3. Step 3: Cross multiply
    901.29x = 1,351.36 × 706.30
  4. Step 4: Simplify right side
    901.29x = 954,465.57
  5. Step 5: Solve for x
    x = 954,465.57/901.29
  6. Step 6: Final answer
    x = 1,059.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.