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Finding the Fourth Proportional to 1,059.76, 1,462.98 and 706.27

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Solution

The fourth proportional to 1,059.76, 1,462.98 and 706.27 is: 974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.76 : 1,462.98 = 706.27 : x
  2. Step 2: Convert to fraction form
    1,059.76/1,462.98 = 706.27/x
  3. Step 3: Cross multiply
    1,059.76x = 1,462.98 × 706.27
  4. Step 4: Simplify right side
    1,059.76x = 1,033,258.88
  5. Step 5: Solve for x
    x = 1,033,258.88/1,059.76
  6. Step 6: Final answer
    x = 974.99

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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.