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Finding the Fourth Proportional to 1,082.75, 1,630.93 and 985.86

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Solution

The fourth proportional to 1,082.75, 1,630.93 and 985.86 is: 1,484.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.75 : 1,630.93 = 985.86 : x
  2. Step 2: Convert to fraction form
    1,082.75/1,630.93 = 985.86/x
  3. Step 3: Cross multiply
    1,082.75x = 1,630.93 × 985.86
  4. Step 4: Simplify right side
    1,082.75x = 1,607,870.81
  5. Step 5: Solve for x
    x = 1,607,870.81/1,082.75
  6. Step 6: Final answer
    x = 1,484.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.