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Finding the Fourth Proportional to 1,185.18, 1,777.11 and 856.25

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Solution

The fourth proportional to 1,185.18, 1,777.11 and 856.25 is: 1,283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.18 : 1,777.11 = 856.25 : x
  2. Step 2: Convert to fraction form
    1,185.18/1,777.11 = 856.25/x
  3. Step 3: Cross multiply
    1,185.18x = 1,777.11 × 856.25
  4. Step 4: Simplify right side
    1,185.18x = 1,521,645.01
  5. Step 5: Solve for x
    x = 1,521,645.01/1,185.18
  6. Step 6: Final answer
    x = 1,283.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.