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Finding the Fourth Proportional to 1,186.72, 1,776.63 and 895.42

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Solution

The fourth proportional to 1,186.72, 1,776.63 and 895.42 is: 1,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.72 : 1,776.63 = 895.42 : x
  2. Step 2: Convert to fraction form
    1,186.72/1,776.63 = 895.42/x
  3. Step 3: Cross multiply
    1,186.72x = 1,776.63 × 895.42
  4. Step 4: Simplify right side
    1,186.72x = 1,590,835.61
  5. Step 5: Solve for x
    x = 1,590,835.61/1,186.72
  6. Step 6: Final answer
    x = 1,340.53

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