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Finding the Fourth Proportional to 1,165.76, 1,607.88 and 745.64

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Solution

The fourth proportional to 1,165.76, 1,607.88 and 745.64 is: 1,028.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.76 : 1,607.88 = 745.64 : x
  2. Step 2: Convert to fraction form
    1,165.76/1,607.88 = 745.64/x
  3. Step 3: Cross multiply
    1,165.76x = 1,607.88 × 745.64
  4. Step 4: Simplify right side
    1,165.76x = 1,198,899.64
  5. Step 5: Solve for x
    x = 1,198,899.64/1,165.76
  6. Step 6: Final answer
    x = 1,028.43

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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.