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Finding the Fourth Proportional to 1,026.05, 1,415.52 and 633.29

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Solution

The fourth proportional to 1,026.05, 1,415.52 and 633.29 is: 873.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.05 : 1,415.52 = 633.29 : x
  2. Step 2: Convert to fraction form
    1,026.05/1,415.52 = 633.29/x
  3. Step 3: Cross multiply
    1,026.05x = 1,415.52 × 633.29
  4. Step 4: Simplify right side
    1,026.05x = 896,427.58
  5. Step 5: Solve for x
    x = 896,427.58/1,026.05
  6. Step 6: Final answer
    x = 873.67

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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.