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Finding the Fourth Proportional to 1,158.72, 1,599.06 and 716.64

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Solution

The fourth proportional to 1,158.72, 1,599.06 and 716.64 is: 988.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.72 : 1,599.06 = 716.64 : x
  2. Step 2: Convert to fraction form
    1,158.72/1,599.06 = 716.64/x
  3. Step 3: Cross multiply
    1,158.72x = 1,599.06 × 716.64
  4. Step 4: Simplify right side
    1,158.72x = 1,145,950.36
  5. Step 5: Solve for x
    x = 1,145,950.36/1,158.72
  6. Step 6: Final answer
    x = 988.98

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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.