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Finding the Fourth Proportional to 1,158.71, 1,599.01 and 627.59

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Solution

The fourth proportional to 1,158.71, 1,599.01 and 627.59 is: 866.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.71 : 1,599.01 = 627.59 : x
  2. Step 2: Convert to fraction form
    1,158.71/1,599.01 = 627.59/x
  3. Step 3: Cross multiply
    1,158.71x = 1,599.01 × 627.59
  4. Step 4: Simplify right side
    1,158.71x = 1,003,513.12
  5. Step 5: Solve for x
    x = 1,003,513.12/1,158.71
  6. Step 6: Final answer
    x = 866.06

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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.