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Finding the Fourth Proportional to 1,167.44, 1,610.36 and 695.02

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Solution

The fourth proportional to 1,167.44, 1,610.36 and 695.02 is: 958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.44 : 1,610.36 = 695.02 : x
  2. Step 2: Convert to fraction form
    1,167.44/1,610.36 = 695.02/x
  3. Step 3: Cross multiply
    1,167.44x = 1,610.36 × 695.02
  4. Step 4: Simplify right side
    1,167.44x = 1,119,226.31
  5. Step 5: Solve for x
    x = 1,119,226.31/1,167.44
  6. Step 6: Final answer
    x = 958.70

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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.