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Finding the Fourth Proportional to 1,076.02, 1,614.03 and 713.11

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Solution

The fourth proportional to 1,076.02, 1,614.03 and 713.11 is: 1,069.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.02 : 1,614.03 = 713.11 : x
  2. Step 2: Convert to fraction form
    1,076.02/1,614.03 = 713.11/x
  3. Step 3: Cross multiply
    1,076.02x = 1,614.03 × 713.11
  4. Step 4: Simplify right side
    1,076.02x = 1,150,980.93
  5. Step 5: Solve for x
    x = 1,150,980.93/1,076.02
  6. Step 6: Final answer
    x = 1,069.67

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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.