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Finding the Fourth Proportional to 1,106.43, 1,526.82 and 713.46

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Solution

The fourth proportional to 1,106.43, 1,526.82 and 713.46 is: 984.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.43 : 1,526.82 = 713.46 : x
  2. Step 2: Convert to fraction form
    1,106.43/1,526.82 = 713.46/x
  3. Step 3: Cross multiply
    1,106.43x = 1,526.82 × 713.46
  4. Step 4: Simplify right side
    1,106.43x = 1,089,325.48
  5. Step 5: Solve for x
    x = 1,089,325.48/1,106.43
  6. Step 6: Final answer
    x = 984.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.