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Finding the Fourth Proportional to 1,063.14, 1,597.11 and 630.58

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Solution

The fourth proportional to 1,063.14, 1,597.11 and 630.58 is: 947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.14 : 1,597.11 = 630.58 : x
  2. Step 2: Convert to fraction form
    1,063.14/1,597.11 = 630.58/x
  3. Step 3: Cross multiply
    1,063.14x = 1,597.11 × 630.58
  4. Step 4: Simplify right side
    1,063.14x = 1,007,105.62
  5. Step 5: Solve for x
    x = 1,007,105.62/1,063.14
  6. Step 6: Final answer
    x = 947.29

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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.