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Finding the Fourth Proportional to 1,158.73, 1,599.06 and 634.75

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Solution

The fourth proportional to 1,158.73, 1,599.06 and 634.75 is: 875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.73 : 1,599.06 = 634.75 : x
  2. Step 2: Convert to fraction form
    1,158.73/1,599.06 = 634.75/x
  3. Step 3: Cross multiply
    1,158.73x = 1,599.06 × 634.75
  4. Step 4: Simplify right side
    1,158.73x = 1,015,003.34
  5. Step 5: Solve for x
    x = 1,015,003.34/1,158.73
  6. Step 6: Final answer
    x = 875.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.