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Finding the Fourth Proportional to 1,061.60, 1,465.34 and 687.92

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Solution

The fourth proportional to 1,061.60, 1,465.34 and 687.92 is: 949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.60 : 1,465.34 = 687.92 : x
  2. Step 2: Convert to fraction form
    1,061.60/1,465.34 = 687.92/x
  3. Step 3: Cross multiply
    1,061.60x = 1,465.34 × 687.92
  4. Step 4: Simplify right side
    1,061.60x = 1,008,025.93
  5. Step 5: Solve for x
    x = 1,008,025.93/1,061.60
  6. Step 6: Final answer
    x = 949.54

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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.